论文标题

AKNS($ n $)系统的Hirota双线性形式

Hirota bilinear forms of the AKNS($N$) systems

论文作者

Gürses, Metin, Pekcan, Aslı

论文摘要

我们以$ n = 3,4,5,6 $的价格研究AKNS($ n $)层次结构。我们给出了这些系统的海洋双线性形式,并呈现它们的局部和非本地减少。我们给出了还原方程的hirota双线性形式。还研究了递归操作员的换向图,AKNS($ n $)系统的减少以及Hirota BiLearearization的兼容性图。

We study the AKNS($N$) hierarchy for $N=3,4,5,6$. We give the Hirota bilinear forms of these systems and present local and nonlocal reductions of them. We give the Hirota bilinear forms of the reduced equations. The compatibility of the commutativity diagrams of the application of the recursion operator, reductions of the AKNS($N$) systems, and Hirota bilinearization is also studied.

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