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New application of (G′/G)-expansion method to high-dimensional nonlinear physical equations

Ma Yu-Lan Li Bang-Qing Sun Jian-Zhi

New application of (G′/G)-expansion method to high-dimensional nonlinear physical equations

Ma Yu-Lan, Li Bang-Qing, Sun Jian-Zhi
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  • Received Date:  12 February 2009
  • Accepted Date:  18 March 2009
  • Published Online:  20 November 2009

New application of (G′/G)-expansion method to high-dimensional nonlinear physical equations

  • 1. 北京工商大学计算机与信息工程学院,北京 100048

Abstract: The (G′/G)-expansion method is firstly extended to construct exact non-traveling wave general solutions of high-dimensional nonlinear equations, explore special soliton-structure excitation and evolution, and investigate the chaotic patterns and evolution of these solutions. Taking as an example, new non-traveling solutions are calculated for (3+1)-dimensional nonlinear Burgers system by using the (G′/G)-expansion method. By setting properly the arbitrary function in the solutions, special soliton-structure excitation and evolution are observed, and the chaotic patterns and evolution are studied for the solutions.

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