Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg-de Vries Model from Plasmas and Fluid Dynamics  

作　　者：张春义 姚振智 朱宏武 许韬 李娟 孟祥花 高以天 

机构地区：[1]Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics (Ministry of Educ_ation), Beijing University of Aeronautics and Astronautics, Beijing 100083 [2]Meteorology Center of Air Force Command Post, Changchun 130051 [3]School of Science, Beijing University of Posts Telecommunications, Beijing 100876

出　　处：《Chinese Physics Letters》2007年第5期1173-1176,共4页中国物理快报（英文版）

基　　金：Supported by the Key Project of the Ministry of Education of China under Grant No 106033, and the National Natural Science Foundation of China under Grant Nos 60372095 and 10272017, the Green Path Programme of Air Force of the Chinese People＇s Liberation Army, the Cheung Kong Scholars Programme of the Ministry of Education of China, and Li Ka Shing Foundation of Hong Kong.

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-Bǎcklund transformation between （N-1）- soliton-like and N-soliton-like solutions is verified.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-Bǎcklund transformation between （N-1）- soliton-like and N-soliton-like solutions is verified.

关 键 词：K-DV EQUATION BACKLUND-TRANSFORMATIONS NONUNIFORMITY TERMS DEVRIESEQUATION KDV EQUATION POSITONS WAVES 

分 类 号：O17[理学—数学]