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
Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg--de Vries Model from Plasmas and Fluid Dynamics
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
摘要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.
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.
ZHANG Chun-Yi;YAO Zhen-Zhi;ZHU Hong-Wu; XU Tao;LI Juan;MENG Xiang-Hua;GAO Yi-Tian. Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg--de Vries Model from Plasmas and Fluid Dynamics[J]. 中国物理快报, 2007, 24(5): 1173-1176.
ZHANG Chun-Yi, YAO Zhen-Zhi, ZHU Hong-Wu, XU Tao, LI Juan, MENG Xiang-Hua, GAO Yi-Tian. Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg--de Vries Model from Plasmas and Fluid Dynamics. Chin. Phys. Lett., 2007, 24(5): 1173-1176.
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2007, Vol. 24 
