Analysis and simulation of periodic and solitary waves in nonlinear dispersive-dissipative solids

DOI10.1016/j.cnsns.2021.105921zbMath1479.34078OpenAlexW3169595361MaRDI QIDQ2045968

Yanni Zeng, Xian Bo Sun, Pei Yu

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105921

zbMATH Keywords

Melnikov functiongeometric singular perturbation theoryperiodic traveling waveChebyshev criterionhomoclinic cyclenonlinear dispersive-dissipative solids

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (4)

Solitary waves of singularly perturbed generalized KdV equation with high order nonlinearity ⋮ Existence of traveling wave solutions for a generalized Burgers-Fisher equation with weak convection ⋮ Existence of traveling waves in a delayed convecting shallow water fluid model ⋮ Persistence of solitary wave solutions to a singularly perturbed generalized mKdV equation

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• Plane Wave Solutions to Reaction-Diffusion Equations
• HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
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