Derivative and higher‐order extensions of Davey–Stewartson equation from matrix Kadomtsev–Petviashvili hierarchy
Derivative and higher‐order extensions of Davey–Stewartson equation from matrix Kadomtsev–Petviashvili hierarchy
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DOI：
10.1063/1.530955
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发表时间：
1993-11
影响因子：
1.3
通讯作者：
A. Kundu;W. Strampp
中科院分区：
文献类型：
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作者：
A. Kundu;W. Strampp
通过考虑更一般的Dressing算子，矩阵Kadomtsev-Petviashvili（KP）族可以产生新的（2+1）维可积方程沿着相应的Lax对.特别地，得到了具有变相依系数、导数项和高阶非线性项的Davey-Stewartson（DS）方程的可积扩展。其中一个扩展的DS方程被发现是Kundu-Eckhaus方程的高维推广。给出了这些DS方程的精确局部化解。分析了这种变换对约束矩阵KP系统的影响。
It is shown that by considering the more general dressing operators, the matrix Kadomtsev–Petviashvili (KP) hierarchy can yield new integrable equations in (2+1) dimensions along with the corresponding Lax pair. In particular integrable extensions of the Davey–Stewartson (DS) equation with variable dependent coefficients, with derivative terms and with higher‐order nonlinear terms, are obtained. One of such extended DS equations is found to be a higher‐dimensional generalization of the Kundu–Eckhaus equation. Exact localized solutions of these DS equations are presented. The effect of such transformations on the constrained matrix KP system is analyzed.