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Application of Bifurcation Method to the Generalized Zakharov Equations

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  • Ming Song

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 blow-up wave solutions and solitary wave solutions.

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  • Ming Song, 2012. "Application of Bifurcation Method to the Generalized Zakharov Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-8, November.
    • Handle: RePEc:hin:jnlaaa:308326
    DOI: 10.1155/2012/308326
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    Cited by:

    1. Song, Ming & Liu, Zhengrong, 2014. "Periodic wave solutions and their limits for the ZK–BBM equation," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 9-26.

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