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Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg--de Vries Model from Plasmas and Fluid Dynamics |
| ZHANG Chun-Yi 1,2;YAO Zhen-Zhi3;ZHU Hong-Wu3; XU Tao3;LI Juan3;MENG Xiang-Hua3;GAO Yi-Tian1 |
| 1Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics (Ministry of Education), Beijing University of Aeronautics and Astronautics, Beijing 1000832Meteorology Center of Air Force Command Post, Changchun 1300513School of Science, Beijing University of Posts Telecommunications, Beijing 100876 |
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| Cite this article: |
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ZHANG Chun-Yi, YAO Zhen-Zhi, ZHU Hong-Wu et al 2007 Chin. Phys. Lett. 24 1173-1176 |
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Abstract Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Korteweg--de Vries (vcKdV) model is investigated. The bilinear form and analytic N-soliton-like solution for such a model are derived by the Hirota method and Wronskian technique. Additionally, the bilinear auto-Backlund transformation between (N-1)-soliton-like and N-soliton-like solutions is verified.
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| Keywords:
05.45.Yv
47.35.Fg
02.30.Ik
02.70.Wz
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Received: 29 December 2006
Published: 23 April 2007
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