ON THE DARBOUX TRANSFORMATIONS OF THE DRINFELD-SOKOLOV-SATSUMA-HIROTA COUPLED KDV SYSTEM

被引：3

作者：

Wang, Ya'nan ^{[1
]}

Niu, Xiao-Xing ^{[2
]}

Liu, Q. P. ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[2] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2022年 / 90卷 / 01期

关键词：

Darboux transformation; coupled Korteweg-de Vries system; exact solutions; RECURSION OPERATORS; SOLITON-SOLUTIONS;

D O I：

10.1016/S0034-4877(22)00050-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A coupled Korteweg-de Vries system known as the Drinfeld-Sokolov-Satsuma-Hirota system is reconsidered. The Darboux transformation for this system constructed by Geng and Li [5] is understood by showing that it is equivalent to a particular reduction of the two-fold Darboux transformation. The iterations of this Darboux transformation are considered and the solutions of the Drinfeld-Sokolov-Satsuma-Hirota system are given in terms of determinants. As applications, some explicit solutions are calculated.

引用

页码：49 / 62

页数：14

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