Riemann-Hilbert approach of the complex Sharma-Tasso-Olver equation and its N-soliton solutions

被引：3

作者：

Li, Sha ^{[1
]}

Xia, Tiecheng ^{[1
]}

Wei, Hanyu ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Zhoukou Normal Univ, Coll Math & Stat, Zhoukou 466001, Peoples R China

来源：

CHINESE PHYSICS B | 2023年 / 32卷 / 04期

基金：

中国国家自然科学基金;

关键词：

complex Sharma-Tasso-Olver equation; Riemann-Hilbert problem; spectral problem; soliton solutions; TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION; FAMILY;

D O I：

10.1088/1674-1056/ac960a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach. The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem of the Lax pair. Subsequently, in the case that the Riemann-Hilbert problem is irregular, the N-soliton solutions of the equation can be deduced. In addition, the three-dimensional graphic of the soliton solutions and wave propagation image are graphically depicted and further discussed.

引用

页数：5

共 35 条

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