Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. (English) Zbl 1143.35360

Wu, Xu-Hong (Benn); He, Ji-Huan

Comput. Math. Appl. 54, No. 7-8, 966-986 (2007).

Summary: The Exp-function method is used for seeking solitary solutions, periodic solutions, and compacton-like solutions of nonlinear differential equations. The combined KdV-MKdV equation and the Liouville equation are chosen to illustrate the effectiveness and convenience of the proposed method.

MSC:

35Q53	KdV equations (Korteweg-de Vries equations)
35Q51	Soliton equations
35B10	Periodic solutions to PDEs
35C10	Series solutions to PDEs
35-04	Software, source code, etc. for problems pertaining to partial differential equations

Keywords:

solitary solutions; periodic solutions; compacton-like solutions; Exp-function method

Software:

Matlab; Mathematica

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