论文标题
SASA-SATSUMA方程的一般流氓波解决方案
General rogue wave solutions to the Sasa-Satsuma equation
论文作者
论文摘要
SASA-SATSUMA方程的一般流氓波解决方案是由Kadomtsev-Petviashvili(KP)层次结构减少方法构建的。这些解决方案以三种不同的形式提出。第一种形式是用递归定义的差分运算符表示的,而第二形式共享相似的解决方案结构,只是不再递归定义差异操作员。第三形式不是使用差分运算符,而是由Schur多项式表示。
General rogue wave solutions to the Sasa-Satsuma equation are constructed by the Kadomtsev-Petviashvili (KP) hierarchy reduction method. These solutions are presented in three different forms. The first form is expressed in terms of recursively defined differential operators while the second form shares a similar solution structure except that the differential operators are no longer recursively defined. Instead of using differential operators, the third form is expressed by Schur polynomials.