Bifurcation of travelling wave solutions in generalized phi-four equation

Yijun Lou

doi:10.1016/j.amc.2007.01.065

Bifurcation of travelling wave solutions in generalized phi-four equation

Yijun Lou

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

By using the method of planar dynamical systems to a nonlinear variant of the phi-four equation, the existence of smooth and nonsmooth solitary wave (so called peakon and valleyon) and infinite many periodic wave solutions is shown. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of above solutions are given. The formulas to compute the travelling waves are also educed.

Original language	English
Pages (from-to)	517-525
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	190
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.01.065
Publication status	Published - 1 Jul 2007
Externally published	Yes

Keywords

Bifurcation theory
Cusp wave
Periodic wave
Phi-four equation
Solitary wave

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics
Numerical Analysis

More information

10.1016/j.amc.2007.01.065

Cite this

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AB - By using the method of planar dynamical systems to a nonlinear variant of the phi-four equation, the existence of smooth and nonsmooth solitary wave (so called peakon and valleyon) and infinite many periodic wave solutions is shown. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of above solutions are given. The formulas to compute the travelling waves are also educed.

KW - Bifurcation theory

KW - Cusp wave

KW - Periodic wave

KW - Phi-four equation

KW - Solitary wave

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Bifurcation of travelling wave solutions in generalized phi-four equation

Abstract

Keywords

ASJC Scopus subject areas

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