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N-Soliton Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg--de Vries Equation |
| XU Xiao-Ge1,2,4, MENG Xiang-Hua3, GAO Yi-Tian2 |
| 1School of Science, Beijing University of Aeronautics and Astronautics, Beijing 1000832Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 1000833School of Science, Beijing University of Posts and Telecommunications, Beijing 1008764Beijing Information Technology Institute, Beijing 100101 |
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| Cite this article: |
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XU Xiao-Ge, MENG Xiang-Hua, GAO Yi-Tian 2008 Chin. Phys. Lett. 25 3890-3893 |
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Abstract 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-Bäcklund transformation between the (N-1)- and N-soliton solutions is verified.
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05.45.Yv
02.30.Jr
02.30.Ik
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Received: 18 April 2008
Published: 25 October 2008
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