Journal of Nonlinear Science

Article	Citations
Doubly Localized Two-Dimensional Rogue Waves in the Davey–Stewartson I Equation	50
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation	45
Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation	44
Pattern Transformation in Higher-Order Lumps of the Kadomtsev–Petviashvili I Equation	32
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein–Uhlenbeck Process	30
Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain	28
Traveling Wave Solutions for a Class of Discrete Diffusive SIR Epidemic Model	28
The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian	26
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation	26
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates	24
Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect	21
Small Permanent Charge Effects on Individual Fluxes via Poisson–Nernst–Planck Models with Multiple Cations	17
Extending Transition Path Theory: Periodically Driven and Finite-Time Dynamics	16
Coexistence, Extinction, and Optimal Harvesting in Discrete-Time Stochastic Population Models	16
Stationary Distribution, Extinction and Probability Density Function of a Stochastic Vegetation–Water Model in Arid Ecosystems	16
Stochastic SIR Lévy Jump Model with Heavy-Tailed Increments	15
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	15
Anomalous Waves Triggered by Abrupt Depth Changes: Laboratory Experiments and Truncated KdV Statistical Mechanics	15
Impact of State-Dependent Dispersal on Disease Prevalence	15
2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction	14
Vortex Patches Choreography for Active Scalar Equations	14
The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time $$\psi $$-Caputo Derivative	14
Complex Periodic Bursting Structures in the Rayleigh–van der Pol–Duffing Oscillator	13
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	12
Sensitivity Analysis for the 2D Navier–Stokes Equations with Applications to Continuous Data Assimilation	12

Elliptic Soliton Solutions: $$\tau $$ Functions, Vertex Operators and Bilinear Identities	12
Finite-Data Error Bounds for Koopman-Based Prediction and Control	11
Mathematical Framework for Breathing Chimera States	11
A Local-in-Time Theory for Singular SDEs with Applications to Fluid Models with Transport Noise	11
Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator	11
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	11
Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation	10
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	10
Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion	10
Periodic Solutions of Stochastic Differential Equations Driven by Lévy Noises	10
Optimal Decay Estimates for 2D Boussinesq Equations with Partial Dissipation	10
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation	10
On the Geometry of Discrete Contact Mechanics	10
Spatially Quasi-Periodic Water Waves of Infinite Depth	10
Diffusivity Estimation for Activator–Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton	10
Spontaneous Periodic Orbits in the Navier–Stokes Flow	9
Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model	9
Stochastic Variational Formulations of Fluid Wave–Current Interaction	9
Optimal Control, Contact Dynamics and Herglotz Variational Problem	9
Global Regularity for the 2D MHD and Tropical Climate Model with Horizontal Dissipation	9
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds	9
Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes	9
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	9
Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics	9
On the Boussinesq Equations with Non-monotone Temperature Profiles	9
Evolution of Dispersal in Advective Patchy Environments	9
Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions	9
Geometric Control of Two Quadrotors Carrying a Rigid Rod with Elastic Cables	8
Transformation Cloaking in Elastic Plates	8
Finite-Dimensionality of Tempered Random Uniform Attractors	8
Nonlinear Network Dynamics with Consensus–Dissensus Bifurcation	8
Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems	8
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception	8
Nonintegrability of Nearly Integrable Dynamical Systems Near Resonant Periodic Orbits	8
Stability and Sensitivity Analysis of Bird Flapping Flight	8
Scaling Limits for the Generalized Langevin Equation	8
Fast-Wave Averaging with Phase Changes: Asymptotics and Application to Moist Atmospheric Dynamics	8
Rigorous Analysis and Dynamics of Hibler’s Sea Ice Model	7
On the Motion of Gravity–Capillary Waves with Odd Viscosity	7
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	7
Efficient and Accurate KAM Tori Construction for the Dissipative Spin–Orbit Problem Using a Map Reduction	7
Global Solutions of the Two-Dimensional Kuramoto–Sivashinsky Equation with a Linearly Growing Mode in Each Direction	7
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	7
Kinetic Equation for Soliton Gas: Integrable Reductions	7
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	7
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	6
An Intrinsic Aggregation Model on the Special Orthogonal Group SO(3): Well-posedness and Collective Behaviours	6
Reference Configurations Versus Optimal Rotations: A Derivation of Linear Elasticity from Finite Elasticity for all Traction Forces	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	6

Stability Against the Odds: The Case of Chromonic Liquid Crystals	6
Vortex Pairs and Dipoles on Closed Surfaces	6
Stability of Elliptic Solutions to the sinh-Gordon Equation	6
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	6
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	6
Localised Radial Patterns on the Free Surface of a Ferrofluid	6
Relaxation Limit from the Quantum Navier–Stokes Equations to the Quantum Drift–Diffusion Equation	6
Time-Periodic Planar Fronts Around an Obstacle	5
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	5
Nonlinear Theory for Coalescing Characteristics in Multiphase Whitham Modulation Theory	5
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	5
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	5
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies	5
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	5
Stability of Boundary Conditions for the Sadowsky Functional	5
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries	5
Closed 1/2-Elasticae in the 2-Sphere	5
A Group-Theoretic Approach to the Bifurcation Analysis of Spatial Cosserat-Rod Frameworks with Symmetry	5
Dynamic Behavior of a General Stochastic HIV Model with Virus-to-Cell Infection, Cell-to-Cell Transmission, Immune Response and Distributed Delays	5
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	5
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	5
Spatial Dynamics of Species with Annually Synchronized Emergence of Adults	5
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices	4
Landscape Analysis for Shallow Neural Networks: Complete Classification of Critical Points for Affine Target Functions	4
A Homogenized Bending Theory for Prestrained Plates	4
Disc–Disc Structure in a Two-Species Interacting System on a Flat Torus	4
Quasistatic Hypoplasticity at Large Strains Eulerian	4
Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source	4
Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations	4
Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation	4
The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation	4
Steady-State Bifurcation of a Non-parallel Flow Involving Energy Dissipation over a Hartmann Boundary Layer	4
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn–Hilliard Equation	4
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	4
Relaxation to Fractional Porous Medium Equation from Euler–Riesz System	4
Bounds on the Energy of a Soft Cubic Ferromagnet with Large Magnetostriction	4
Dynamics of Shadow System of a Singular Gierer–Meinhardt System on an Evolving Domain	4
Existence and Uniqueness of Continuous Solution for a Non-local Coupled System Modeling the Dynamics of Dislocation Densities	4
Global Existence of Weak Solutions to the Incompressible Axisymmetric Euler Equations Without Swirl	4
Stability Analysis of Spike Solutions to the Schnakenberg Model with Heterogeneity on Metric Graphs	4
Travelling Waves for the Brio System	4
Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems	4
Analysis of Group of Fish Response to Startle Reaction	4
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites	4
Global Bifurcation of Anti-plane Shear Fronts	4
Mathematical Theory of Nonlinear Single-Phase Poroelasticity	4
Synchronization Conditions of a Mixed Kuramoto Ensemble in Attractive and Repulsive Couplings	4
A Multiscale Problem for Viscous Heat-Conducting Fluids in Fast Rotation	4
Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model	4
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	4
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems: A New Approach Using Secants	4
On the Stability of Periodic Waves for the Cubic Derivative NLS and the Quintic NLS	3
Small-Time Extinction with Decay Estimate of Bilinear Systems on Hilbert Space	3
Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators	3
Searching for Singularities in Navier–Stokes Flows Based on the Ladyzhenskaya–Prodi–Serrin Conditions	3
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids	3
Instability of Static Solutions of the sine-Gordon Equation on a $${\mathcal {Y}}$$-Junction Graph with $$\delta $$-Interaction	3
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	3
Numerical Approaches for Investigating Quasiconvexity in the Context of Morrey’s Conjecture	3
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	3
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	3
Multi-spike Patterns in the Gierer–Meinhardt System with a Nonzero Activator Boundary Flux	3
Hopf-Like Bifurcations and Asymptotic Stability in a Class of 3D Piecewise Linear Systems with Applications	3
The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson–Boltzmann Theory for Molecular Solvation	3
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	3
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	3
Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature	3
Fractional Damping Through Restricted Calculus of Variations	3
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation	3
The Impact of Frequency Bandwidth on a One-Dimensional Model for Dispersive Wave Turbulence	3
Lattice Solutions in a Ginzburg–Landau Model for a Chiral Magnet	3
Analysis of a Two-Fluid Taylor–Couette Flow with One Non-Newtonian Fluid	3
The Nonsmooth Dynamics of Combined Slip and Spin Motion Under Dry Friction	3
Hamiltonian Aspects of Three-Layer Stratified Fluids	3
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	3
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	3
Exponential Asymptotic Stability of the Kuramoto System with Periodic Natural Frequencies and Constant Inertia	3
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form	3

Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	3
Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems	3
Global Regularity of the 2D HVBK Equations	3
Stochastic Port-Hamiltonian Systems	3
Morrey’s Conjecture for the Planar Volumetric-Isochoric Split: Least Rank-One Convex Energy Functions	3
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	3
Strong Solvability of a Variational Data Assimilation Problem for the Primitive Equations of Large-Scale Atmosphere and Ocean Dynamics	3
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	3
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	3
On the Energy and Helicity Conservation of the Incompressible Euler Equations	3
tgEDMD: Approximation of the Kolmogorov Operator in Tensor Train Format	3
Turing Pattern Formation Under Heterogeneous Distributions of Parameters for an Activator-Depleted Reaction Model	2
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	2
A Family of Semitoric Systems with Four Focus–Focus Singularities and Two Double Pinched Tori	2
The Height Invariant of a Four-Parameter Semitoric System with Two Focus–Focus Singularities	2
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	2
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	2
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	2
A Cucker–Smale Flocking Model with the Hessian Communication Weight and Its First-Order Reduction	2
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	2
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	2
Convergence to Steady-States of Compressible Navier–Stokes–Maxwell Equations	2
Motility Switching and Front–Back Synchronisation in Polarised Cells	2
Non-uniform Continuity of the Generalized Camassa–Holm Equation in Besov Spaces	2
A Type I Defect and New Integrable Boundary Conditions for the Coupled Nonlinear Schrödinger Equation	2
The Limit Cycles of the Higgins–Selkov Systems	2
Bifurcations and Patterns in the Kuramoto Model with Inertia	2
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	2
Compactness and Sharp Lower Bound for a 2D Smectics Model	2
A New Evans Function for Quasi-Periodic Solutions of the Linearised Sine-Gordon Equation	2
Memory-Based Reduced Modelling and Data-Based Estimation of Opinion Spreading	2
A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	2
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane	2
Nucleation and Growth of Lattice Crystals	2
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	2
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	2
Fractional-Order Periodic Maps: Stability Analysis and Application to the Periodic-2 Limit Cycles in the Nonlinear Systems	2
Turing Patterns in a Predator–Prey Reaction–Diffusion Model with Seasonality and Fear Effect	2
Existence and Multiplicity of Wave Trains in a 2D Diatomic Face-Centered Lattice	2
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	2
Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization	2
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model	2
Stochastic Transport Equations with Unbounded Divergence	2
Microscopical Justification of Solid-State Wetting and Dewetting	2
On the Geophysical Green-Naghdi System	2
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis	2
Stability of Regular Polygonal Relative Equilibria on $$\mathbf{}\mathbb S^2$$	2
Vortex Motion of the Euler and Lake Equations	2
On the Hamel Coefficients and the Boltzmann–Hamel Equations for the Rigid Body	2
Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	2
Four Symmetries of the KdV Equation	2
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	2
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	2
Equilateral Chains and Cyclic Central Configurations of the Planar Five-Body Problem	2
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	2
A Three-Dimensional Generalization of QRT Maps	2
A Matrix Schrödinger Approach to Focusing Nonlinear Schrödinger Equations with Nonvanishing Boundary Conditions	2
Koopman-Based Spectral Clustering of Directed and Time-Evolving Graphs	2
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	2
A Kinematic–Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics	2