Two synthetical five-component nonlinear integrable systems: Darboux transformations and applications

被引：0

作者：

Chen, Xin ^{[1
]}

Zha, Qi-Lao ^{[1
]}

机构：

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2020年 / 34卷 / 32期

基金：

中国国家自然科学基金;

关键词：

Five-component nonlinear integrable system; Darboux transformation; explicit solution; EQUATION;

D O I：

10.1142/S0217979220503142

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A generalized 3 x 3 matrix spectral problem is investigated to generate two five-component nonlinear integrable systems, which involve an arbitrary smooth function. These systems are proven integrable in the sense of Lax pair. As the reduction cases, a four-component reaction diffusion equation and a four-component modified Korteweg-de Vries (mKdV) equation are solved by Darboux transformation approach.

引用

页数：23

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