Physica D-Nonlinear Phenomena

Article	Citations
Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales	171
Inversion of a SIR-based model: A critical analysis about the application to COVID-19 epidemic	76
Riemann–Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies	72
Rogue wave patterns in the nonlinear Schrödinger equation	54
Explicit formulae for the peak time of an epidemic from the SIR model	53
Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows	50
N-double poles solutions for nonlocal Hirota equation with nonzero b	50
Predicting the evolution of the COVID-19 epidemic with the A-SIR model: Lombardy, Italy and São Paulo state, Brazil	48
Sasa–Satsuma type matrix integrable hierarchies and their Riemann–Hilbert problems and soliton solutions	45
Supervised learning from noisy observations: Combining machine-learning techniques with data assimilation	45
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning	44
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise	43
Riemann–Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions	41
On the emergence of a power law in the distribution of COVID-19 cases	38
A Reduced Order Deep Data Assimilation model	37
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	36
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits	36
Bistability, wave pinning and localisation in natural reaction–diffusion systems	35
Higher-order rogue wave solutions to the Kadomtsev–Petviashvili 1 equation	35
The Shannon entropy: An efficient indicator of dynamical stability	35
Evolutionary dynamics of cooperation in the N-person stag hunt game	33
Universal rogue wave patterns associated with the Yablonskii–Vorob’ev polynomial hierarchy	33
Darboux transformation and solitonic solution to the coupled complex short pulse equation	33
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	33
Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions	31

Hamiltonian operator inference: Physics-preserving learning of reduced-order models for canonical Hamiltonian systems	31
Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation	31
Echo State Networks trained by Tikhonov least squares are L	31
A simple but complex enough θ-SIR type model to be used with COVID-1	29
Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning	29
Association between COVID-19 cases and international equity indices	29
Kadomtsev–Petviashvili equation: One-constraint method and lump pattern	28
Semi-rational vector rogon–soliton solutions and asymptotic analysis for anyn	28
Data-driven rogue waves and parameters discovery in nearly integrable	28
Trends in COVID-19 prevalence and mortality: A year in review	28
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity	27
Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation	25
Riemann–Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions	24
Non-degenerate multi-rogue waves and easy ways of their excitation	24
Comparing the dynamics of COVID-19 infection and mortality in the United States, India, and Brazil	24
Novel semi-metrics for multivariate change point analysis and anomaly detection	23
Enhanced energy harvesting using time-delayed feedback control from random rotational environment	23
Higher-order algebraic soliton solutions of the Gerdjikov–Ivanov equation: Asymptotic analysis and emergence of rogue waves	23
Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation	23
Mechanisms of stationary converted waves and their complexes in the multi-component AB system	22
Hamiltonian structure of compartmental epidemiological models	21
New approximations, and policy implications, from a delayed dynamic model of a fast pandemic	21
Multi-lump solutions of KP equation with integrable boundary via	20
A vector Geng–Li model: New nonlinear phenomena and breathers on periodic background waves	20
Learning physics-constrained subgrid-scale closures in the small-data regime for stable and accurate LES	20
Kernel-based prediction of non-Markovian time series	20
Asymptotic analysis of high-order solitons for the Hirota equation	19
Rayleigh–Taylor instability with gravity reversal	19
Explicit formulae for the peak time of an epidemic from the SIR model. Which approximant to use?	19
A sharp-front moving boundary model for malignant invasion	19
Modeling cell crawling strategies with a bistable model: From amoeboid to fan-shaped cell motion	19
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	18
Learning mean-field equations from particle data using WSINDy	18
Assessments of epistemic uncertainty using Gaussian stochastic weight averaging for fluid-flow regression	18
Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave–short-wave resonance interaction systems	17
The robust inverse scattering method for focusing Ablowitz–Ladik equation on the non-vanishing background	17
Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer–van der Pol oscillator	17
The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation	16
Solitary waves in FPU-type lattices	16
Progress, gaps and obstacles in the classification of cellular automata	16
Memory and forecasting capacities of nonlinear recurrent networks	16
Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system	16
The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface	16
Planning of school teaching during Covid-19	16
Rogue waves in (2+1)-dimensional three-wave resonant interactions	16
Solution landscape of the Onsager model identifies non-axisymmetric critical points	16
Deep learning soliton dynamics and complex potentials recognition for 1D and 2D	15
Linearized fast time-stepping schemes for time–space fractional Schrödinger equations	15
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz–Ladik model	15
A novel antimonotic hyperjerk system: Analysis, synchronization and circuit design	14

Breathers, cascading instabilities and Fermi–Pasta–Ulam–Tsingou recurrence of the derivative nonlinear Schrödinger equation: Effects of ‘self-steepening’ nonlinearity	14
The influence of autotoxicity on the dynamics of vegetation spots	14
Dissecting the snake: Transition from localized patterns to spike solutions	14
Statistical basin of attraction in time-delayed cutting dynamics: Modelling and computation	14
A view of the peakon world through the lens of approximation theory	13
Higher-dimensional soliton generation, stability and excitations of the 13
Understanding the transport and break up of reactive ejecta	13
Traveling pulses in a coupled FitzHugh–Nagumo equation	13
Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators	13
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem	13
Large speed traveling waves for the Rosenzweig–MacArthur predator–prey model with spatial diffusion	13
Multi-component universal character hierarchy and its polynomial tau-functions	13
Pattern formation in hyperbolic models with cross-diffusion: Theory and applications	13
Mathematical analysis of a Sips-based model for column adsorption	13
Solitons in a coupled system of fractional nonlinear Schrödinger equations	13
Travelling wave analysis of cellular invasion into surrounding tissues	13
Higher-order optical rogue waves in spatially inhomogeneous multimode fiber	13
Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions	13
Supervised learning algorithms for controlling underactuated dynamical systems	12
Periodic waves in the discrete mKdV equation: Modulational instability and rogue waves	12
Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin–Ono equation	12
PT-symm	12
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	12
One-shot learning of stochastic differential equations with data adapted kernels	12
Scaling effect in COVID-19 spreading: The role of heterogeneity in a hybrid ODE-network model with restrictions on the inter-cities flow	12
Global dynamics of hybrid van der Pol–Rayleigh oscillators	12
Shape of pendent droplets under a tilted surface	12
Pressure effect on the formation kinetics of ferroelectric domain structure under first order phase transitions	12
A general view on double limits in differential equations	12
Rhombic and hexagonal pattern formation in 2D hyperbolic reaction–transport systems in the context of dryland ecology	11
Birkhoff averages and the breakdown of invariant tori in volume-preserving maps	11
On the double sphere model of synchronization	11
Shock-fronted travelling waves in a reaction–diffusion model with nonlinear forward–backward–forward diffusion	11
Interaction structures of multi localized waves within the Kadomtsev–Petviashvili I equation	11
Long time asymptotics for the nonlocal mKdV equation with finite density initial data	11
The structure of algebraic solitons and compactons in the generalized Korteweg–de Vries equation	11
Heat transport bounds for a truncated model of Rayleigh–Bénard convection via polynomial optimization	11
Evolution of hybrid quantum–classical wavefunctions	11
Darboux transformation and general soliton solutions for the reverse space–time nonlocal short pulse equation	11
Complex dynamics on the one-dimensional quantum droplets via time piecewise PINNs	11
Bayesian learning of stochastic dynamical models	11
Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media	11
Emergent behaviors of relativistic flocks on Riemannian manifolds	11
Hidden Akhmediev breathers and vector modulation instability in the defocusing regime	11
Control and anti-control of chaos based on the moving largest Lyapunov exponent using reinforcement learning	11
The echo index and multistability in input-driven recurrent neural networks	11
General breather and rogue wave solutions to the complex short pulse equation	10
Basic reproduction number for the SIR epidemic in degree correlated networks	10
Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation	10
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	10
Bilinear equations in Darboux transformations by Boson–Fermion correspondence	10
Chiral skyrmions of large radius	10
Multi-lump wave patterns of KPI via integer partitions	10
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	10
Interactions of fractional N-solitons with anomalous dispersions for	10
General fractional integrals and derivatives and their applications	10
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	10
Algorithms of data generation for deep learning and feedback design: A survey	10
Nonlinear feedback control of Marangoni wave patterns in a thin film heated from below	10
Control of diffusion-driven pattern formation behind a wave of competency	9
Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows	9
Occurrence of Vibrational resonance in an oscillator with an asymmetric Toda potential	9
Bursting oscillations of the perturbed quasi-zero stiffness system with positive/negative stiffness at origin	9
Computing with non-orientable defects: Nematics, smectics and natural patterns	9
Jensen–Fisher information and Jensen–Shannon entropy measures based on complementary discrete distributions with an application to Conway’s game of life	9
General rogue wave solution to the discrete nonlinear Schrödinger equation	9
General rogue wave solutions under SU(2) transformation in the vector Chen–Lee–Liu nonlinear Schrödinger equation	9
Deep learning based classification of time series of Chen and Rössler chaotic systems over their graphic images	9
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	9
Evolutionary correlation, regime switching, spectral dynamics and optimal trading strategies for cryptocurrencies and equities	9
Recovery of the nearest potential field from the m observed eigenvalue	9
Tensor-based computation of metastable and coherent sets	9
Sharp upper and lower bounds of the attractor dimension for 3D damped Euler–Bardina equations	8
High order rational solitons and their dynamics of the 3-wave resonant interaction equation	8
Multi-soliton solutions of KP equation with integrable boundary via	8
Machine learning control — explainable and analyzable methods	8
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	8
Switching between periodic orbits in impact oscillator by time-delayed feedback methods	8
Epidemic models with discrete state structures	8
Data-driven solutions and parameter discovery of the Sasa–Satsuma equation via the physics-informed neural networks method	8

Local and nonlocal solitons in a coupled real system of Landau–Lifshitz equations	8
Nested mixed-mode oscillations in a canard-generating driven Bonhoeffer–van der Pol oscillator	8
Pseudo-Hamiltonian neural networks with state-dependent external forces	8
Interaction between vegetation patches and gaps: A self-organized response to water scarcity	8
Persistent strange attractors in 3D polymatrix replicators	8
Multi-layer neural networks for data-driven learning of fractional difference equations’ stability, periodicity and chaos	8
Orthogonal polynomials, Toda lattices and Painlevé equations	8
Sparse methods for automatic relevance determination	8
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	8
Dynamic coupling in small-world outer synchronization of chaotic networks	8
The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law	8
Wobbling kinks in a two-component scalar field theory: Interaction between shape modes	8
On computational capabilities of Ising machines based on nonlinear oscillators	8
Stability of smooth solitary waves in the b-Camassa–Holm equation	8
Control of chaos with time-delayed feedback based on deep reinforcement learning	8
Rational vector rogue waves for the n-component Hirota equation wit	8
Global dynamics visualisation from Lagrangian Descriptors. Applications to discrete and continuous systems	8
Adding filters to improve reservoir computer performance	8
How sensitive are Lagrangian coherent structures to uncertainties in data?	7
On first integrals and stability of stationary motions of gyrostat	7
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning	7
Complex dynamics of a vibration machine caused by a relay feedback control	7
Deep learning of conjugate mappings	7
On the number of limit cycles of a class of Liénard–Rayleigh oscillators	7
Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics	7
Flame propagation in a porous medium	7
Into higher dimensions for nonsmooth dynamical systems	7
Bright matter-wave bound soliton molecules in spin-1 Bose–Einstein condensates with non-autonomous nonlinearities	7
The two-process model for sleep–wake regulation: A nonsmooth dynamics perspective	7
Equivalence relations andLp	7
Information quantity evaluation of nonlinear time series processes and applications	7
Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati–Konno–Ichikawa-II equation	7
Noncommutative solutions to Zamolodchikov’s tetrahedron equation and matrix six-factorisation problems	7
Self-similar collapse of three vortices in the generalised Euler and quasi-geostrophic equations	7
Spiral wave chimeras induced by heterogeneity in phase lags and time delays	7
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary	7
Long-time asymptotics for an integrable evolution equation with a 3 × 3 Lax pair	7
Nested mixed-mode oscillations, Part III: Comparison of bifurcation structures between a driven Bonhoeffer–van der Pol oscillator and Nagumo–Sato piecewise-linear discontinuous one-dimensional map	7
Bridging the gap: Machine learning to resolve improperly modeled dynamics	7
Ginzburg–Landau model of a Stiffnessometer — A superconducting stiffness meter device	7
Lagrangian descriptors and the action integral of classical mechanics	7
Hamiltonian approach to modelling interfacial internal waves over variable bottom	7
The numerical search for the internal dynamics of NHIMs and their pictorial representation	7
2D single-mode Richtmyer–Meshkov instability	7
How to combat atmospheric carbon dioxide along with development activities? A mathematical model	6
Grassmannian flows and applications to non-commutative non-local and local integrable systems	6
Existence and stability of traveling waves of the fifth-order KdV equation	6
An asynchronous solution to the synchronisation problem for binary one-dimensional cellular automata	6
Anomalous diffusion in single and coupled standard maps with extensive chaotic phase spaces	6
Hamiltonian chaos and differential geometry of configuration space–time	6
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	6
On the stability of traveling wave solutions to thin-film and long-wave models for film flows inside a tube	6
A fast Euler–Maruyama method for Riemann–Liouville stochastic fractional nonlinear differential equations	6
One-parametric bifurcation analysis of data-driven car-following models	6
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	6
Stability of multi-hump localized solutions in the Holstein model for linear acoustic and soft nonlinear optical interactions	6
Period adding with symmetry breaking/recovering in a power inverter with hysteresis control	6
Resolving soil and surface water flux as drivers of pattern formation in Turing models of dryland vegetation: A unified approach	6
The mathematics of burger flipping	6
Wave-breaking and moderate deviations of the stochastic Camassa–Holm equation with pure jump noise	6
Network of networks: A bibliometric analysis	6
On the elliptic-localized solutions of the sine–Gordon equation	6
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	6
Reactive islands for three degrees-of-freedom Hamiltonian systems	6
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	6
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	6
Identifying localized and spreading chaos in nonlinear disordered lattices by the Generalized Alignment Index (GALI) method	6
Corrigendum and addendum to “Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation” [Physica D 395 (2019) 15–23]	6
Synchronization patterns on networks of pancreatic β-cell models	6
Targeted influence maximization in complex networks	6
Computation of large-genus solutions of the Korteweg–de Vries equation	6
Broader universality of rogue waves of infinite order	6
A split-and-perturb decomposition of number-conserving cellular automata	6
Data-driven forward and inverse problems for chaotic and hyperchaotic dynamic systems based on two machine learning architectures	6
Controlling coexisting attractors of a class of non-autonomous dynamical systems	6
Patterns, localized structures and fronts in a reduced model of clonal plant growth	6
Surface wave and thermocapillary instabilities on flowing film under the sway of Hall viscosity	6
Effects of head loss, surface tension, viscosity and density ratio on the Kelvin–Helmholtz instability in different types of pipelines	5
Actively deforming porous media in an incompressible fluid: A variational approach	5
Evolution of cooperation in multigames on interdependent networks	5
On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves	5
The synchronization of discrete quantum chaotic maps with uncertainty via compensated control technique	5
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold	5
On evolving network models and their influence on opinion formation	5
Kinks in massive non-linear S	5
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	5
Nanoptera in nonlinear woodpile chains with zero precompression	5
Synchronization of multi-weighted complex networks with mixed variable delays and uncertainties via impulsive pinning control	5
Data-driven method to learn the most probable transition pathway and stochastic differential equation	5
On stochastic mirror descent with interacting particles: Convergence properties and variance reduction	5
On a class of new nonlocal traffic flow models with look-ahead rules	5
Potential well escape via vortex-induced vibrations: A single-degree-of-freedom analysis	5
Large and infinite-order solitons of the coupled nonlinear Schrödinger equation	5
Revisiting the relation between the Lyapunov time and the instability time	5
Rare decaying ripple solutions within the KP equation	5