The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients

Authors:
Yi Zhang;Shaoyong Lai;Jun Yin;Yonghong Wu
Affiliations:
Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China;Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China;Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China;Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA6845, Australia
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

The auxiliary differential equation technique is employed to investigate a generalized mKdV equation with variable coefficients. The Jacobi elliptic function wave-like solutions of the equation are expressed under several circumstances. The degenerated soliton-like and trigonometric function solutions are discussed in detail as the modulus of the Jacobi elliptic wave-like solutions tends to 1 and 0, respectively.