Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation

DOI10.1007/s10483-011-1528-9zbMath1246.34001OpenAlexW2313843175MaRDI QIDQ764611

Zhen-xiang Dai, Yuan-fen Xu

Publication date: 13 March 2012

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1528-9

zbMATH Keywords

exact solutionperiodic wavesplanar dynamical systemparametric representations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (2)

Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations ⋮ On the high-energy solitary wave solutions for a generalized KP equation in a bounded domain

Cites Work

• Unnamed Item
• Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order.
• Exact solutions of generalized Zakharov and Ginzburg-Landau equations
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS

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