SOME COMMON EXPRESSIONS AND NEW BIFURCATION PHENOMENA FOR NONLINEAR WAVES IN A GENERALIZED mKdV EQUATION

DOI10.1142/S0218127413300073zbMath1270.35178OpenAlexW1982122021MaRDI QIDQ2845157

Weifang Yan, Rui Liu

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127413300073

zbMATH Keywords

solitary waveskink wavesgeneralized mKdV equationblow-up wavescommon expressionsnew bifurcation phenomena

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Two kinds of important bifurcation phenomena of nonlinear waves in a generalized Novikov-Veselov equation ⋮ Riemann theta solutions and their asymptotic property for a \((3+1)\)-dimensional water wave equation ⋮ The Existence and Bifurcation of Peakon and Anti-Peakon to the n-Degree b-Equation ⋮ Bifurcation phenomena of nonlinear waves in a generalized Zakharov-Kuznetsov equation ⋮ The bifurcations of solitary and kink waves described by the Gardner equation ⋮ Bifurcations and Exact Solutions in a Nonlinear Wave Equation

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