IJPAM: Volume 71, No. 3 (2011)

MULTISOLITON SOLUTIONS OF THE CLASSICAL
BOUSSINESQ EQUATION BASED ON
WRONSKIAN TECHNIQUE

Peng Cui$^1$, DeShend Li$^2$
$^{1,2}$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
Year: 2011
Volume: 71
Issue: 3