Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED
Han-yu Wei, En-Gui Fan null, W. Ma
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引用次数: 0

Abstract

. Water waves are actively studied. A new method to generate new wave systems through making perturbation in matrix spectral problems for integrable couplings is presented, which is called the “completion process of integrable couplings”. As its ap-plication, we construct an integrable coupling hierarchy and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure by taking use of the component-trace identity. Moreover, the self-consistent sources of integrable coupling is presented based on the theory of self-consistent sources.
非线性波动系统中具有自洽源的Guo-Hierarchy可积耦合的完成
.积极研究水波。针对可积耦合的矩阵谱问题,提出了一种通过摄动生成新波系的新方法,称为“可积耦合完成过程”。作为应用,我们构造了一个可积的耦合层次,并利用分量迹恒等式证明了所得层次中的每个方程都具有双哈密顿结构。此外,基于自洽源理论,给出了可积耦合的自洽源。
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来源期刊
CiteScore
2.60
自引率
8.30%
发文量
48
期刊介绍: The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.
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