Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method

Authors:
Xu-Hong (Benn) Wu;Ji-Huan He
Affiliations:
Modern Textile Institute, Donghua University, 1882 Yan-an Xilu Road, Shanghai 200051, PR China;Modern Textile Institute, Donghua University, 1882 Yan-an Xilu Road, Shanghai 200051, PR China
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

In this paper, 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.