Additional Reductions in the K -Constrained Modified KP Hierarchy

被引：0
|
作者：
Chvartatskyi O. [1 ]
Sydorenko Y. [1 ]
机构：
[1] Franko Lviv Nat. Univ., Universytets’ka st., 1, Lviv
来源：
Journal of Mathematical Sciences | 2016年 / 212卷 / 3期
关键词：
Additional Reduction; Petviashvili Equation; Matrix Generalization; AKNS System; Binary Darboux Transformation;
D O I：
10.1007/s10958-015-2669-x
中图分类号：
学科分类号：
摘要：
Additional reductions are proposed for the modified k-constrained KP hierarchy. As a result, we obtain generalizations of Kaup–Broer system, Korteweg–de-Vries equation, and a modification of the Korteweg–de-Vries equation that belongs to the modified k-constrained KP hierarchy. We also propose a solution generating technique based on binary Darboux transformations for the obtained equations. © 2015, Springer Science+Business Media New York.
引用
收藏
页码：349 / 369
页数：20
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