COEXISTENCE OF MULTIFARIOUS EXACT NONLINEAR WAVE SOLUTIONS FOR GENERALIZED b-EQUATION

DOI10.1142/S0218127410027623zbMath1204.35065OpenAlexW2075178368MaRDI QIDQ3069924

Rui Liu

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1142/s0218127410027623

zbMATH Keywords

phase analysisgeneralized \(b\)-equationspecial integralscoexistence of multifarious exact solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (7)

The explicit periodic wave solutions and their limit forms for a generalized \(b\)-equation ⋮ Blow-up solutions for a case of \(b\)-family equations ⋮ Some explicit expressions and interesting bifurcation phenomena for nonlinear waves in generalized Zakharov equations ⋮ Bifurcations of Solitary Waves of a Simple Equation ⋮ The Existence and Bifurcation of Peakon and Anti-Peakon to the n-Degree b-Equation ⋮ Bifurcations and Exact Solutions in a Nonlinear Wave Equation ⋮ SOME COMMON EXPRESSIONS AND NEW BIFURCATION PHENOMENA FOR NONLINEAR WAVES IN A GENERALIZED mKdV EQUATION

Cites Work

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