N-Soliton Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg-de Vries Equation

XU Xiao-Ge; MENG Xiang-Hua; GAO Yi-Tian

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N-Soliton Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg-de Vries Equation

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We concentrate on finding exact solutions for a generalized variable-coefficient Korteweg-de Vries equation of physically significance. The analytic N-soliton solution in Wronskian form for such a model is postulated and verified by direct substituting the solution into the bilinear form by virtue of the Wronskian technique. Additionally, the bilinear auto-B(a..)cklnnd transformation between the (N- 1)- and N-soliton solutions is verified.

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《中国物理快报：英文版》 |2008年第11期|3890-3893|共4页
作者
XU Xiao-Ge; MENG Xiang-Hua; GAO Yi-Tian;
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作者单位

School of Science,Beijing University of Aeronautics and Astronautics,Beijing 100083;

Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics,Beijing University of Aeronautics and Astronautics,Beijing 100083;

Beijing Information Technology Institute,Beijing 100101;

School of Science,Beijing University of Posts and Telecommunications,Beijing 100876;

Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics,Beijing University of Aeronautics and Astronautics,Beijing 100083;

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中图分类化学;
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N-Soliton Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg-de Vries Equation

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