Journal of Nonlinear Science

Article	Citations
Rogue Waves in the Generalized Derivative Nonlinear Schrödinger Equations	50
Doubly Localized Two-Dimensional Rogue Waves in the Davey–Stewartson I Equation	45
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation	42
The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions	40
Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation	40
Dynamical Analysis and Control Strategies of Rumor Spreading Models in Both Homogeneous and Heterogeneous Networks	29
Pattern Transformation in Higher-Order Lumps of the Kadomtsev–Petviashvili I Equation	28
The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian	25
Traveling Wave Solutions for a Class of Discrete Diffusive SIR Epidemic Model	25
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation	24
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein–Uhlenbeck Process	24
Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain	23
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates	22
Extending Transition Path Theory: Periodically Driven and Finite-Time Dynamics	16
Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect	16
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	15
Coexistence, Extinction, and Optimal Harvesting in Discrete-Time Stochastic Population Models	15
2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction	15
A Geometric Heat-Flow Theory of Lagrangian Coherent Structures	15
Small Permanent Charge Effects on Individual Fluxes via Poisson–Nernst–Planck Models with Multiple Cations	15
The Regularized Visible Fold Revisited	15
The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time $$\psi $$-Caputo Derivative	14
Propagation Speed of the Bistable Traveling Wave to the Lotka–Volterra Competition System in a Periodic Habitat	14
Vortex Patches Choreography for Active Scalar Equations	13
Stochastic SIR Lévy Jump Model with Heavy-Tailed Increments	13

Anomalous Waves Triggered by Abrupt Depth Changes: Laboratory Experiments and Truncated KdV Statistical Mechanics	12
Stationary Distribution, Extinction and Probability Density Function of a Stochastic Vegetation–Water Model in Arid Ecosystems	12
Impact of State-Dependent Dispersal on Disease Prevalence	12
Complex Periodic Bursting Structures in the Rayleigh–van der Pol–Duffing Oscillator	11
Phase Separation in the Advective Cahn–Hilliard Equation	10
Mathematical Framework for Breathing Chimera States	10
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	10
Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation	10
Phase Transitions and Macroscopic Limits in a BGK Model of Body-Attitude Coordination	10
Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion	10
Optimal Decay Estimates for 2D Boussinesq Equations with Partial Dissipation	10
A Local-in-Time Theory for Singular SDEs with Applications to Fluid Models with Transport Noise	10
Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow	10
Spatially Quasi-Periodic Water Waves of Infinite Depth	9
Stochastic Variational Formulations of Fluid Wave–Current Interaction	9
Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions	9
On the Geometry of Discrete Contact Mechanics	9
On the Boussinesq Equations with Non-monotone Temperature Profiles	9
Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes	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
Sensitivity Analysis for the 2D Navier–Stokes Equations with Applications to Continuous Data Assimilation	9
Diffusivity Estimation for Activator–Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton	9
Elliptic Soliton Solutions: $$\tau $$ Functions, Vertex Operators and Bilinear Identities	9
Periodic Solutions of Stochastic Differential Equations Driven by Lévy Noises	9
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation	8
Perihelion Librations in the Secular Three-Body Problem	8
Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator	8
Evolution of Dispersal in Advective Patchy Environments	8
Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics	8
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	8
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	8
Nonintegrability of Nearly Integrable Dynamical Systems Near Resonant Periodic Orbits	7
On Fast–Slow Consensus Networks with a Dynamic Weight	7
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	7
Relaxation Limit from the Quantum Navier–Stokes Equations to the Quantum Drift–Diffusion Equation	7
Geometric Control of Two Quadrotors Carrying a Rigid Rod with Elastic Cables	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
Transformation Cloaking in Elastic Plates	7
Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model	7
Rigorous Analysis and Dynamics of Hibler’s Sea Ice Model	7
Stability and Sensitivity Analysis of Bird Flapping Flight	7
Finite-Data Error Bounds for Koopman-Based Prediction and Control	7
Nonlinear Network Dynamics with Consensus–Dissensus Bifurcation	6
Stability of Elliptic Solutions to the sinh-Gordon Equation	6
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	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
Finite-Dimensionality of Tempered Random Uniform Attractors	6

On the Motion of Gravity–Capillary Waves with Odd Viscosity	6
Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems	6
Fast-Wave Averaging with Phase Changes: Asymptotics and Application to Moist Atmospheric Dynamics	6
Stability Against the Odds: The Case of Chromonic Liquid Crystals	5
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	5
Localised Radial Patterns on the Free Surface of a Ferrofluid	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	5
Spontaneous Periodic Orbits in the Navier–Stokes Flow	5
Optimal Control, Contact Dynamics and Herglotz Variational Problem	5
The Quasiconvex Envelope of Conformally Invariant Planar Energy Functions in Isotropic Hyperelasticity	5
Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries	5
Closed 1/2-Elasticae in the 2-Sphere	5
Spike-Adding Canard Explosion in a Class of Square-Wave Bursters	5
Scaling Limits for the Generalized Langevin Equation	5
Nonlinear Theory for Coalescing Characteristics in Multiphase Whitham Modulation Theory	5
Weak Solutions Obtained by the Vortex Method for the 2D Euler Equations are Lagrangian and Conserve the Energy	5
Dynamics of Shadow System of a Singular Gierer–Meinhardt System on an Evolving Domain	4
Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations	4
Stability Analysis of Spike Solutions to the Schnakenberg Model with Heterogeneity on Metric Graphs	4
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	4
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	4
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn–Hilliard Equation	4
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	4
Global Bifurcation of Anti-plane Shear Fronts	4
Closed Unstretchable Knotless Ribbons and the Wunderlich Functional	4
Kinetic Equation for Soliton Gas: Integrable Reductions	4
Vortex Pairs and Dipoles on Closed Surfaces	4
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	4
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices	4
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	4
Relaxation to Fractional Porous Medium Equation from Euler–Riesz System	4
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	4
Turbulent Energy Spectrum via an Interaction Potential	4
Nonlinear Physiologically Structured Population Models with Two Internal Variables	4
The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation	4
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems: A New Approach Using Secants	4
Analysis of Group of Fish Response to Startle Reaction	4
Landscape Analysis for Shallow Neural Networks: Complete Classification of Critical Points for Affine Target Functions	4
Disc–Disc Structure in a Two-Species Interacting System on a Flat Torus	4
A Homogenized Bending Theory for Prestrained Plates	3
Instability of Static Solutions of the sine-Gordon Equation on a $${\mathcal {Y}}$$-Junction Graph with $$\delta $$-Interaction	3
Lattice Solutions in a Ginzburg–Landau Model for a Chiral Magnet	3
Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source	3
Quasistatic Hypoplasticity at Large Strains Eulerian	3
A Multiscale Problem for Viscous Heat-Conducting Fluids in Fast Rotation	3
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	3
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	3
The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson–Boltzmann Theory for Molecular Solvation	3
Small-Time Extinction with Decay Estimate of Bilinear Systems on Hilbert Space	3
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites	3
Mathematical Theory of Nonlinear Single-Phase Poroelasticity	3
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception	3
Morrey’s Conjecture for the Planar Volumetric-Isochoric Split: Least Rank-One Convex Energy Functions	3
Hill Four-Body Problem with Oblate Bodies: An Application to the Sun–Jupiter–Hektor–Skamandrios System	3
Fractional Damping Through Restricted Calculus of Variations	3
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	3
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	3
Multi-spike Patterns in the Gierer–Meinhardt System with a Nonzero Activator Boundary Flux	3
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	3
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	3
Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature	3
Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems	3
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	3
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	3
Numerical Approaches for Investigating Quasiconvexity in the Context of Morrey’s Conjecture	3
Bounds on the Energy of a Soft Cubic Ferromagnet with Large Magnetostriction	3
Analysis of a Two-Fluid Taylor–Couette Flow with One Non-Newtonian Fluid	3
A Group-Theoretic Approach to the Bifurcation Analysis of Spatial Cosserat-Rod Frameworks with Symmetry	3
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	3
Exponential Asymptotic Stability of the Kuramoto System with Periodic Natural Frequencies and Constant Inertia	3
On the Stability of Periodic Waves for the Cubic Derivative NLS and the Quintic NLS	3
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form	3
Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators	3
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	3
Compactness and Sharp Lower Bound for a 2D Smectics Model	2
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	2
Microscopical Justification of Solid-State Wetting and Dewetting	2
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	2
A New Evans Function for Quasi-Periodic Solutions of the Linearised Sine-Gordon Equation	2

Convergence to Steady-States of Compressible Navier–Stokes–Maxwell Equations	2
Nucleation and Growth of Lattice Crystals	2
A Matrix Schrödinger Approach to Focusing Nonlinear Schrödinger Equations with Nonvanishing Boundary Conditions	2
Travelling Waves for the Brio System	2
Existence and Uniqueness of Continuous Solution for a Non-local Coupled System Modeling the Dynamics of Dislocation Densities	2
Non-uniform Continuity of the Generalized Camassa–Holm Equation in Besov Spaces	2
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	2
Koopman-Based Spectral Clustering of Directed and Time-Evolving Graphs	2
Equilateral Chains and Cyclic Central Configurations of the Planar Five-Body Problem	2
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	2
Stability of Regular Polygonal Relative Equilibria on $$\mathbf{}\mathbb S^2$$	2
Four Symmetries of the KdV Equation	2
On the Detuned $$2\!{:}\!4$$ Resonance	2
The Height Invariant of a Four-Parameter Semitoric System with Two Focus–Focus Singularities	2
tgEDMD: Approximation of the Kolmogorov Operator in Tensor Train Format	2
Asymptotic Solution of a Boundary Value Problem for a Spring–Mass Model of Legged Locomotion	2
Turing Pattern Formation Under Heterogeneous Distributions of Parameters for an Activator-Depleted Reaction Model	2
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	2
Time-Periodic Planar Fronts Around an Obstacle	2
Vortex Motion of the Euler and Lake Equations	2
On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation	2
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	2
Strong Solvability of a Variational Data Assimilation Problem for the Primitive Equations of Large-Scale Atmosphere and Ocean Dynamics	2
A Cucker–Smale Flocking Model with the Hessian Communication Weight and Its First-Order Reduction	2
Synchronization Conditions of a Mixed Kuramoto Ensemble in Attractive and Repulsive Couplings	2
The Nonsmooth Dynamics of Combined Slip and Spin Motion Under Dry Friction	2
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids	2
Dynamic Behavior of a General Stochastic HIV Model with Virus-to-Cell Infection, Cell-to-Cell Transmission, Immune Response and Distributed Delays	2
Spatial Dynamics of Species with Annually Synchronized Emergence of Adults	2
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	2
Stability of Boundary Conditions for the Sadowsky Functional	2
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	2
Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation	2
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane	2
A Family of Semitoric Systems with Four Focus–Focus Singularities and Two Double Pinched Tori	2
Stochastic Port-Hamiltonian Systems	2
A Kinematic–Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics	2
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	2
The Existence of Solutions for a Free Boundary Problem Modeling the Spread of Ecosystem Engineers	2
Existence and Multiplicity of Wave Trains in a 2D Diatomic Face-Centered Lattice	2
A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	2
Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization	2
Searching for Singularities in Navier–Stokes Flows Based on the Ladyzhenskaya–Prodi–Serrin Conditions	2
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	2
A Type I Defect and New Integrable Boundary Conditions for the Coupled Nonlinear Schrödinger Equation	2
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	2
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	2
Steady-State Bifurcation of a Non-parallel Flow Involving Energy Dissipation over a Hartmann Boundary Layer	2
Memory-Based Reduced Modelling and Data-Based Estimation of Opinion Spreading	2
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	2
On the Hamel Coefficients and the Boltzmann–Hamel Equations for the Rigid Body	2
Hopf-Like Bifurcations and Asymptotic Stability in a Class of 3D Piecewise Linear Systems with Applications	2