Some exact solutions to the generalized Korteweg-de Vries equation and the system of shallow water wave equations
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2013
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Abstract
In this paper, we establish exact solutions for nonlinear evolution equations in mathematical physics. The exp-transform method is proposed to seek solitary solutions, periodic solutions and compaction-like solutions of nonlinear differential equations. The generalized KdV equation and the system of the shallow water wave equation are chosen to illustrate the effectiveness and convenience of the method. © Vilnius University, 2013.