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

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.