论文标题
BKP和CKP方程的分解解决方案和Bäcklund变换
Decomposition solutions and Bäcklund transformations of the BKP and CKP equations
论文作者
论文摘要
在本文中，我们定义了修改的形式变量分离方法，并显示了它如何以非常简单的方式确定分解解决方案，bäcklund变换，lax对和B型Kadomtsev-Petv-petv-petviaShvili方程的线性叠加解决方案。同样，通过相同的技术获得了分解溶液，Bäcklund变换和与C型Kadomtsev-Petviashvili方程相关的LAX对。这表明分解可以提供非线性系统中可集成行为的描述，而同时，建立了确定特定系统之间关系的有效方法。
In this paper, we define the modified formal variable separation approach and show how it determines, in a remarkably simple manner, the decomposition solutions, the Bäcklund transformations, the Lax pair, and the linear superposition solution of the B-type Kadomtsev-Petviashvili equation. Also, the decomposition solutions, the Bäcklund transformation and the Lax pair relating to the C-type Kadomtsev-Petviashvili equation is obtain by the same technique. This indicates that the decomposition may provide a description of integrable behavior in nonlinear systems, while, at the same time, establishing an efficient method for determining relationships between the particular systems.
