Journal of Nonlinear Science

Article	Citations
Doubly Localized Two-Dimensional Rogue Waves in the Davey–Stewartson I Equation	53
Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation	45
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation	45
Pattern Transformation in Higher-Order Lumps of the Kadomtsev–Petviashvili I Equation	33
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein–Uhlenbeck Process	31
Traveling Wave Solutions for a Class of Discrete Diffusive SIR Epidemic Model	29
Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain	29
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates	27
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
Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect	25
Coexistence, Extinction, and Optimal Harvesting in Discrete-Time Stochastic Population Models	18
Small Permanent Charge Effects on Individual Fluxes via Poisson–Nernst–Planck Models with Multiple Cations	17
Stationary Distribution, Extinction and Probability Density Function of a Stochastic Vegetation–Water Model in Arid Ecosystems	16
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	15
Stochastic SIR Lévy Jump Model with Heavy-Tailed Increments	15
Impact of State-Dependent Dispersal on Disease Prevalence	15
Finite-Data Error Bounds for Koopman-Based Prediction and Control	14
The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time $$\psi $$-Caputo Derivative	14
Elliptic Soliton Solutions: $$\tau $$ Functions, Vertex Operators and Bilinear Identities	14
2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction	14
Vortex Patches Choreography for Active Scalar Equations	14
Sensitivity Analysis for the 2D Navier–Stokes Equations with Applications to Continuous Data Assimilation	13
Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator	13
Complex Periodic Bursting Structures in the Rayleigh–van der Pol–Duffing Oscillator	13

Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	13
Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion	12
Diffusivity Estimation for Activator–Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton	12
Optimal Decay Estimates for 2D Boussinesq Equations with Partial Dissipation	11
A Local-in-Time Theory for Singular SDEs with Applications to Fluid Models with Transport Noise	11
Mathematical Framework for Breathing Chimera States	11
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	11
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	11
Periodic Solutions of Stochastic Differential Equations Driven by Lévy Noises	10
Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes	10
Evolution of Dispersal in Advective Patchy Environments	10
On the Geometry of Discrete Contact Mechanics	10
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation	10
Global Regularity for the 2D MHD and Tropical Climate Model with Horizontal Dissipation	10
Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation	10
Spatially Quasi-Periodic Water Waves of Infinite Depth	10
Optimal Control, Contact Dynamics and Herglotz Variational Problem	10
Spontaneous Periodic Orbits in the Navier–Stokes Flow	10
Geometric Control of Two Quadrotors Carrying a Rigid Rod with Elastic Cables	9
Global Solutions of the Two-Dimensional Kuramoto–Sivashinsky Equation with a Linearly Growing Mode in Each Direction	9
Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics	9
On the Boussinesq Equations with Non-monotone Temperature Profiles	9
Stochastic Variational Formulations of Fluid Wave–Current Interaction	9
Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions	9
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds	9
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	9
Nonlinear Network Dynamics with Consensus–Dissensus Bifurcation	8
Transformation Cloaking in Elastic Plates	8
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	8
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception	8
Rigorous Analysis and Dynamics of Hibler’s Sea Ice Model	8
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	8
Scaling Limits for the Generalized Langevin Equation	8
Finite-Dimensionality of Tempered Random Uniform Attractors	8
Nonintegrability of Nearly Integrable Dynamical Systems Near Resonant Periodic Orbits	8
Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems	8
Stability and Sensitivity Analysis of Bird Flapping Flight	8
Fast-Wave Averaging with Phase Changes: Asymptotics and Application to Moist Atmospheric Dynamics	8
Efficient and Accurate KAM Tori Construction for the Dissipative Spin–Orbit Problem Using a Map Reduction	7
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	7
On the Motion of Gravity–Capillary Waves with Odd Viscosity	7
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	7
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	7
Kinetic Equation for Soliton Gas: Integrable Reductions	7
An Intrinsic Aggregation Model on the Special Orthogonal Group SO(3): Well-posedness and Collective Behaviours	6
Vortex Pairs and Dipoles on Closed Surfaces	6
Relaxation Limit from the Quantum Navier–Stokes Equations to the Quantum Drift–Diffusion Equation	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Stability Against the Odds: The Case of Chromonic Liquid Crystals	6
Localised Radial Patterns on the Free Surface of a Ferrofluid	6

Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	6
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	6
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	6
Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries	6
Reference Configurations Versus Optimal Rotations: A Derivation of Linear Elasticity from Finite Elasticity for all Traction Forces	6
Stability of Elliptic Solutions to the sinh-Gordon Equation	6
Mathematical Theory of Nonlinear Single-Phase Poroelasticity	5
Time-Periodic Planar Fronts Around an Obstacle	5
Dynamic Behavior of a General Stochastic HIV Model with Virus-to-Cell Infection, Cell-to-Cell Transmission, Immune Response and Distributed Delays	5
Stability of Boundary Conditions for the Sadowsky Functional	5
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	5
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	5
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	5
Spatial Dynamics of Species with Annually Synchronized Emergence of Adults	5
Relaxation to Fractional Porous Medium Equation from Euler–Riesz System	5
Closed 1/2-Elasticae in the 2-Sphere	5
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	5
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	5
A Group-Theoretic Approach to the Bifurcation Analysis of Spatial Cosserat-Rod Frameworks with Symmetry	5
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Analysis of Group of Fish Response to Startle Reaction	5
Landscape Analysis for Shallow Neural Networks: Complete Classification of Critical Points for Affine Target Functions	5
A Homogenized Bending Theory for Prestrained Plates	5
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	5
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	5
Nonlinear Theory for Coalescing Characteristics in Multiphase Whitham Modulation Theory	5
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	5
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems: A New Approach Using Secants	5
Disc–Disc Structure in a Two-Species Interacting System on a Flat Torus	5
Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation	4
The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation	4
Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems	4
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	4
The Impact of Frequency Bandwidth on a One-Dimensional Model for Dispersive Wave Turbulence	4
Synchronization Conditions of a Mixed Kuramoto Ensemble in Attractive and Repulsive Couplings	4
Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations	4
Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model	4
Stability Analysis of Spike Solutions to the Schnakenberg Model with Heterogeneity on Metric Graphs	4
Travelling Waves for the Brio System	4
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices	4
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites	4
Instability of Static Solutions of the sine-Gordon Equation on a $${\mathcal {Y}}$$-Junction Graph with $$\delta $$-Interaction	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
Global Existence of Weak Solutions to the Incompressible Axisymmetric Euler Equations Without Swirl	4
tgEDMD: Approximation of the Kolmogorov Operator in Tensor Train Format	4
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	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
Global Bifurcation of Anti-plane Shear Fronts	4
Existence and Uniqueness of Continuous Solution for a Non-local Coupled System Modeling the Dynamics of Dislocation Densities	4
Dynamics of Shadow System of a Singular Gierer–Meinhardt System on an Evolving Domain	4
The Nonsmooth Dynamics of Combined Slip and Spin Motion Under Dry Friction	4
A Multiscale Problem for Viscous Heat-Conducting Fluids in Fast Rotation	4
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	3
Small-Time Extinction with Decay Estimate of Bilinear Systems on Hilbert Space	3
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	3
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	3
Equilateral Chains and Cyclic Central Configurations of the Planar Five-Body Problem	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
Fractional Damping Through Restricted Calculus of Variations	3
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation	3
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	3
Hamiltonian Aspects of Three-Layer Stratified Fluids	3
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	3
On the Stability of Periodic Waves for the Cubic Derivative NLS and the Quintic NLS	3
Exponential Asymptotic Stability of the Kuramoto System with Periodic Natural Frequencies and Constant Inertia	3
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves	3
Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature	3
Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems	3
Analysis of a Two-Fluid Taylor–Couette Flow with One Non-Newtonian Fluid	3
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	3
Numerical Approaches for Investigating Quasiconvexity in the Context of Morrey’s Conjecture	3
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	3
Fractional-Order Periodic Maps: Stability Analysis and Application to the Periodic-2 Limit Cycles in the Nonlinear Systems	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
On the Energy and Helicity Conservation of the Incompressible Euler Equations	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
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	3
Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators	3
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization	3
Global Regularity of the 2D HVBK Equations	3
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids	3
Searching for Singularities in Navier–Stokes Flows Based on the Ladyzhenskaya–Prodi–Serrin Conditions	3
Stochastic Port-Hamiltonian Systems	3
Strong Solvability of a Variational Data Assimilation Problem for the Primitive Equations of Large-Scale Atmosphere and Ocean Dynamics	3
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	3
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	3
Microscopical Justification of Solid-State Wetting and Dewetting	3
Multistability for a Reduced Nematic Liquid Crystal Model in the Exterior of 2D Polygons	2
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	2
On the Hamel Coefficients and the Boltzmann–Hamel Equations for the Rigid Body	2
Convergence to Steady-States of Compressible Navier–Stokes–Maxwell Equations	2
A Cucker–Smale Flocking Model with the Hessian Communication Weight and Its First-Order Reduction	2
Stability of Regular Polygonal Relative Equilibria on $$\mathbf{}\mathbb S^2$$	2
Existence and Multiplicity of Wave Trains in a 2D Diatomic Face-Centered Lattice	2
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	2
Four Symmetries of the KdV Equation	2
Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization	2
Weak Solutions to the Stationary Cahn–Hilliard/Navier–Stokes Equations for Compressible Fluids	2
Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude	2
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	2
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	2
Turing Patterns in a Predator–Prey Reaction–Diffusion Model with Seasonality and Fear Effect	2
The Limit Cycles of the Higgins–Selkov Systems	2
On the Geophysical Green-Naghdi System	2
Turing Pattern Formation Under Heterogeneous Distributions of Parameters for an Activator-Depleted Reaction Model	2
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis	2
Vortex Motion of the Euler and Lake Equations	2
Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	2
Nucleation and Growth of Lattice Crystals	2
The Height Invariant of a Four-Parameter Semitoric System with Two Focus–Focus Singularities	2
On the Dynamics of a Heavy Symmetric Ball that Rolls Without Sliding on a Uniformly Rotating Surface of Revolution	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
A Matrix Schrödinger Approach to Focusing Nonlinear Schrödinger Equations with Nonvanishing Boundary Conditions	2
Zero-Relaxation Limits of the Non-Isentropic Euler–Maxwell System for Well/Ill-Prepared Initial Data	2
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	2
Regularity Criteria for the Kuramoto–Sivashinsky Equation in Dimensions Two and Three	2
Koopman-Based Spectral Clustering of Directed and Time-Evolving Graphs	2
Non-existence of Mean-Field Models for Particle Orientations in Suspensions	2
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	2
Memory-Based Reduced Modelling and Data-Based Estimation of Opinion Spreading	2
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	2
A Three-Dimensional Generalization of QRT Maps	2
A Family of Semitoric Systems with Four Focus–Focus Singularities and Two Double Pinched Tori	2
A Kinematic–Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics	2
Limit Sets of Discontinuous Vector Fields on Two-Dimensional Manifolds	2
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	2
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	2
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	2
Motility Switching and Front–Back Synchronisation in Polarised Cells	2
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	2
Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	2
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	2
Non-uniform Continuity of the Generalized Camassa–Holm Equation in Besov Spaces	2
Discretized Fast–Slow Systems with Canards in Two Dimensions	2
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model	2
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	2
A Type I Defect and New Integrable Boundary Conditions for the Coupled Nonlinear Schrödinger Equation	2
Compactness and Sharp Lower Bound for a 2D Smectics Model	2
Stochastic Transport Equations with Unbounded Divergence	2
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	2
Bifurcations and Patterns in the Kuramoto Model with Inertia	2
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	2
Stability of Monotone, Nonnegative, and Compactly Supported Vorticities in the Half Cylinder and Infinite Perimeter Growth for Patches	2