Gauge transformations of constrained KP flows: New integrable hierarchies
Gauge transformations of constrained KP flows: New integrable hierarchies
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DOI：
10.1063/1.531336
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发表时间：
1995-06
影响因子：
1.3
通讯作者：
A. Kundu;W. Strampp;W. Oevel
中科院分区：
文献类型：
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作者：
A. Kundu;W. Strampp;W. Oevel
1+1维的可积系统作为涉及平方本征函数的对称约化从KP族中产生。利用这些约束下的剩余规范自由度，导出了新的可积系统。它们包括Kundu-Eckhaus方程的层次的推广和Yajima-Oikawa和Melnikov层次的高阶扩展。约束修正的KP流产生进一步的可积方程，如导数NLS方程，Gerdjikov-Ivanov方程和Chen-Lee-Liu方程的族。
Integrable systems in 1+1 dimensions arise from the KP hierarchy as symmetry reductions involving square eigenfunctions. Exploiting the residual gauge freedom in these constraints new integrable systems are derived. They include generalizations of the hierarchy of the Kundu–Eckhaus equation and higher‐order extensions of the Yajima–Oikawa and Melnikov hierarchies. Constrained modified KP flows yield further integrable equations such as the hierarchies of the derivative NLS equation, the Gerdjikov–Ivanov equation, and the Chen–Lee–Liu equation.