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New Exact Solutions for the -Dimensional Broer-Kaup-Kupershmidt Equations

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  • Ming Song
  • Shaoyong Li
  • Jun Cao

Abstract

We investigate the -dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions, and solitary wave solutions. Some previous results are extended.

Suggested Citation

  • Ming Song & Shaoyong Li & Jun Cao, 2010. "New Exact Solutions for the -Dimensional Broer-Kaup-Kupershmidt Equations," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-9, December.
    • Handle: RePEc:hin:jnlaaa:652649
    DOI: 10.1155/2010/652649
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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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