摘要
<Abstract>In this paper,under the Painlevé-integrable condition,the auto-Bcklund transformations in different forms for a variable-coefficient Korteweg-de Vries model with physical interests are obtained through various methods including the Hirota method,truncated Painlevé expansion method,extended variable-coefficient balancing-act method,and Lax pair.Additionally,the compatibility for the truncated Painlevé expansion method and extended variable-coefficient balancing-act method is testified.
In this paper, under the Painleve-integrable condition, the auto-Biicklund transformations in different forms for a variable-coefficient Korteweg-de Vries model with physical interests are obtained through various methods including the Hirota method, truncated Painleve expansion method, extendedvariable-coefficient balancing-act method, and Lax pair. Additionally, the compatibility for the truncated Painleve expansion method and extended variable-coetfficient balancing-act method is testified.
基金
supported by the Key Project of the Ministry of Education under Grant No.106033
Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20060006024
Ministry of Education,National Natural Science Foundation of China under Grant Nos.60372095 and 60772023
Open Fund of the State Key Laboratory of Software Development Environment under Grant No.SKLSDE-07-001
Beijing University of Aeronautics and Astronautics,and National Basic Research Program of China (973 Program) under Grant No.2005CB321901
关键词
转换模式
变量系数
弗里斯模式
等离子体
variable-coefficient Korteweg-de truncated Painleve expansion Schwarzian derivative-scattering Vries models, auto-Backlund transformation, Hirota method method, extended variable-coefficient balancing-act method method, Lax pair
