The explicit nonlinear wave solutions of the generalized \(b\)-equation

DOI10.3934/cpaa.2013.12.1029zbMath1273.34001OpenAlexW2316183734MaRDI QIDQ1951416

Liu Rui

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1029

zbMATH Keywords

dynamical systemgeneralized \(b\)-equationsolitarybifurcation methodexplicit nonlinear wave solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Solitary waves for incompressible inviscid fluids (76B25) Explicit solutions, first integrals of ordinary differential equations (34A05) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (2)

The explicit periodic wave solutions and their limit forms for a generalized \(b\)-equation ⋮ Blow-up solutions for a case of \(b\)-family equations

Uses Software

• Mathematica

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