广义变系数BKP方程的自Bcklund变换和精确解析解(英文)  

Auto-Bcklund transformation and novel exact analytic solutions for generalized variable-coefficient BKP equation

作　　者：孟祥花[1] 许瑞麟[1] 许晓革[1] 

机构地区：[1]北京信息科技大学理学院

出　　处：《量子电子学报》2014年第6期663-669,共7页Chinese Journal of Quantum Electronics

基　　金：Supported by the National Natural Science Foundation of China under Grant 61072145;the Scientific Research Project of Beijing Educational Committee(SQKM201211232016);Beijing Excellent Talent Training Project(2013D005007000003)

摘　　要：应用Painleve分析法研究了广义变系数Burgers-Kadomtsev-Petviashvili(BKP)方程。结果显示该方程不具有Painleve性质。通过截断Painleve展开方法,在条件f(t)=cg(t)(c为任意常数)下,得到了该方程的自Bcklund变换。基于自Bcklund变换,给出了一些新的解析解如多孤子解和周期解。The generalized variable-coefficient Burgers-Kadomtsev-Petviashvili （BKP） equation was investigated employing the Painleve analysis technique. It showed that the equation does not possess the Painleve property. Via the truncated Painleve expansion method and under the condition f（t）=cg（t） （c is a constant）, an auto-Bcklund transformation for the generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation was derived. Based on the obtained auto-Bcklund transformation, some novel exact analytic solutions were given, including multiple soliton and periodic solutions.

关 键 词：非线性方程 广义变系数Burgers—Kadomtsev—Petviashvili方程 PAINLEVE分析 自Bgcklund变换 解析解 

分 类 号：O175.29[理学—数学]