IJPAM: Volume 71, No. 3 (2011)
BOUSSINESQ EQUATION BASED ON
Department of Mathematics
ShenYang Normal University
110034, P.R. CHINA
Abstract. In this paper, we change the classical Boussinesq equation into a member of AKNS hierarchy by equivalent transformation, and get multisoliton solutions of AKNS equation by means of constructing the double Wronskian deteminant matrix, and then we can get the corresponding multisoliton solutions of the Boussinesq equation.
Received: December 21, 2010
AMS Subject Classification: 35C05, 35Q58
Key Words and Phrases: Boussinesq equation, AKNS equation, Wronskian technique, double Wronskian determinant
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395