Traveling Wave Solutions for the Generalized Zakharov Equations

Ming Song and Zhengrong Liu

Mathematical Problems in Engineering, 2012, vol. 2012, 1-14

Abstract:

We use the bifurcation method of dynamical systems to study the traveling wave solutions for the generalized Zakharov equations. A number of traveling wave solutions are obtained. Those solutions contain explicit periodic wave solutions, periodic blow-up wave solutions, unbounded wave solutions, kink profile solitary wave solutions, and solitary wave solutions. Relations of the traveling wave solutions are given. Some previous results are extended.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:747295

DOI: 10.1155/2012/747295

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