Keywords: 35Q35; 35L05; 74J30; 34D15; Camassa-Holm equation; Solitary wave solutions; Geometric singular perturbation theory; Invariant manifold;
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Keywords: Predictor–corrector; Ring wave; Returning effect; Slope modulation35Q51; 35Q53; 65M06; 74J30; 94A14
Keywords: 74H20; 74J30; 74B20Nonlocal Cauchy problem; Global existence; Blow-up; Potential well; Boussinesq equation; Double dispersion equation
Analytical description of the structure of special discontinuities described by a generalized KdV-Burgers equation
Keywords: Undercompressive shock; Generalized KdV-Burgers equation; Traveling wave; Dispersion; 74J30; 35C07;
Stable NLS solitons in a cubic–quintic medium with a delta-function potential
Keywords: 35J60; 35B32; 35Q55; 37C75; 74J30; 78A60Nonlinear Schrödinger equation; Cubic–quintic nonlinearity; Trapping delta potential; Bifurcation; Stability
Notes on “Solitary wave solutions of the generalized two-component Hunter–Saxton system”
Keywords: 83C15; 74J30; 37K10Two-component Hunter–Saxton system; Bifurcation; Smooth solitary wave; Peaked solitary wave; Exact solution
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations
Keywords: 74H20; 74J30; 74B20Nonlocal Cauchy problem; Double dispersion equation; Global existence; Blow-up; Boussinesq equation
Periodic travelling waves in convex Klein-Gordon chains
Keywords: 37K60; 47J30; 70F45; 74J30; Klein-Gordon chain; Lattice travelling waves; Constrained optimisation;
Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction
Keywords: 37K60; 74J30; 34A34; 49J35Nonlinear Klein–Gordon lattice; Travelling waves; Concentration compactness; Calculus of variations
A Chebyshev spectral collocation method for solving Burgers’-type equations
Keywords: 35Q53; 74G15; 74J30; 74J35; 74J40; 74S25Numerical solutions; Chebyshev spectral collocation method; 1D Burgers’ equation; KdV–Burgers’ equation; Coupled Burgers’ equations; 2D Burgers’ equation; System of 2D Burgers’ equations
Interactions of nonlinear ion-acoustic waves in a collisionless plasma
Keywords: 74J30; 74J35; 82D10; Head-on-collision; Solitary waves; Phase shift;
Asymptotics for some nonlinear damped wave equation: finite time convergence versus exponential decay results
Keywords: 35B40; 35L70; 34A60; 74J30; 74M10Damped wave equation; Dry friction; Second-order differential inclusion; Finite time extinction; Exponential decay