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New Exact Solutions for the (2 + 1)‐Dimensional Broer‐Kaup‐Kupershmidt Equations

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  • Ming Song
  • Shaoyong Li
  • Jun Cao

Abstract

We investigate the (2 + 1)‐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.

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Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:652649
DOI: 10.1155/2010/652649
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