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

Ming Song; Shaoyong Li; Jun Cao

doi:10.1155/2010/652649

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Home > Journals > Abstr. Appl. Anal. > Volume 2010 > Article

2010 New Exact Solutions for the

(2+1)

-Dimensional Broer-Kaup-Kupershmidt Equations

Ming Song, Shaoyong Li, Jun Cao

Abstr. Appl. Anal. 2010: 1-9 (2010). DOI: 10.1155/2010/652649

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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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Ming Song. Shaoyong Li. Jun Cao. "New Exact Solutions for the $(2+1)$ -Dimensional Broer-Kaup-Kupershmidt Equations." Abstr. Appl. Anal. 2010 1 - 9, 2010. https://doi.org/10.1155/2010/652649