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Your search keyword '"Zhang, Lixiang"' showing total 2 results
Start Over Author "Zhang, Lixiang" Language english Journal applied mathematics & computation
2 results on '"Zhang, Lixiang"'

1. Bifurcations of traveling wave solutions for the magma equation

Author

Geng, Yixiang and Zhang, Lixiang

Subjects
*BIFURCATION theory, *NUMERICAL solutions to wave equations, *DIFFERENTIABLE dynamical systems, *SOLITONS, *TOPOLOGICAL spaces, *MATHEMATICAL analysis
Abstract

Abstract: The traveling wave solutions of the magma equation are studied by using the approach of dynamical systems and the theory of bifurcations. With the aid of Maple, all bifurcations and phase portraits in the parametric space are obtained. Under different regions of parametric space, various sufficient conditions to guarantee the existence of solitary wave, periodic wave and breaking wave solutions are given. Moreover, the reason for appearance of breaking waves is explained. [ABSTRACT FROM AUTHOR]

Published
2010
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2. Exact explicit traveling wave solutions for two nonlinear Schrödinger type equations

Author

Geng, Yixiang, Li, Jibin, and Zhang, Lixiang

Subjects
*NUMERICAL solutions to wave equations, *NONLINEAR differential equations, *SCHRODINGER equation, *DIFFERENTIABLE dynamical systems, *BIFURCATION theory, *MATHEMATICAL analysis
Abstract

Abstract: The traveling wave solutions of the generalized nonlinear derivative Schrödinger equation and the high-order dispersive nonlinear Schrödinger equation are studied by using the approach of dynamical systems and the theory of bifurcations. With the aid of Maple, all bifurcations and phase portraits in the parametric space are obtained. All possible explicit parametric representations of the bounded traveling wave solutions (solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions) are given. [ABSTRACT FROM AUTHOR]

Published
2010
Full Text
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