Variform Exact One-Peakon Solutions for Some Singular Nonlinear Traveling Wave Equations of the First Kind

DOI10.1142/S0218127414501600zbMath1305.35009OpenAlexW2169817014MaRDI QIDQ5498612

Ji-Bin Li

Publication date: 10 February 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414501600

zbMATH Keywords

exact solutionnonlinear wave equationpeakonsmoothness of wave

Mathematics Subject Classification ID

Wave equation (35L05) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (7)

Bifurcations and Exact Traveling Wave Solutions in the Generalized Sasa–Satsuma Equation ⋮ Exact Traveling Wave Solutions and Bifurcations of the Burgers-αβ Equation ⋮ BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE EQUIVALENT COMPLEX SHORT-PULSE EQUATIONS ⋮ EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS ⋮ Bifurcations and exact traveling wave solutions for the KdV-like equation ⋮ Bifurcations and Exact Solutions in a Model of Hydrogen-Bonded-Chains ⋮ Bifurcations and Exact Solitary Wave, Compacton and Pseudo-Peakon Solutions in a Modified Generalized KdV Equation

Cites Work

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• On a class of physically important integrable equations
• Traveling wave solutions for a class of nonlinear dispersive equations
• On nonanalytic solitary waves formed by a nonlinear dispersion.
• A two-component generalization of the Camassa-Holm equation and its solutions
• Stability of Solitary Waves and Global Existence of a Generalized Two-Component Camassa–Holm System
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• Integrable peakon equations with cubic nonlinearity
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
• Generalizations of the Camassa–Holm equation
• An integrable shallow water equation with peaked solitons

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