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.
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页数：5
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