Exact explicit peakon and periodic cusp wave solutions for several nonlinear wave equations

DOI10.1007/s10884-008-9114-5zbMath1178.34002OpenAlexW2040086930MaRDI QIDQ957744

Ji-Bin Li

Publication date: 1 December 2008

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-008-9114-5

zbMATH Keywords

solitary wavenonlinear wave equationperiodic waveexact explicit solutionsmoothnees of wave

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Wave equation (35L05) Explicit solutions, first integrals of ordinary differential equations (34A05) Soliton equations (35Q51) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Higher-order equations of the KdV type are integrable ⋮ Extended mixed function method and its application for solving two classic Toda lattice equations ⋮ Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations ⋮ Bifurcation of peakons and periodic cusp waves for the generalization of the Camassa-Holm equation ⋮ BIFURCATION OF TRAVELING WAVE SOLUTIONS OF THE <inline-formula><tex-math id="M1">$K(M, N)$</tex-math></inline-formula> EQUATION WITH GENERALIZED EVOLUTION TERM

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