Backlund transformations for the modified short pulse equation and complex modified short pulse equation

被引：10

作者：

Xue, Min ^{[1
]}

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

Mao, Hui ^{[2
]}

机构：

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

[2] Nanning Normal Univ, Sch Math & Stat, Nanning 530001, Guangxi, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2022年 / 137卷 / 04期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1140/epjp/s13360-022-02710-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is demonstrated that under a reciprocal transformation, the modified short pulse (mSP) equation is brought to the associated mSP equation, which is shown to be equivalent to the associated SP equation. This connection allows us to build a Backlund transformation (BT) and the general formula of its iterations for the mSP equation. In addition to the (real) mSP equation, we further apply the BT method to the complex modified short pulse (cmSP) equation, and both its BT and nonlinear superposition formula are worked out. As applications, for the cmSP equation we calculate its various solutions, such as the soliton solutions, cuspon solutions, breather solutions and their interaction solutions.

引用

页数：13

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