Multi-soliton solutions for the three types of nonlocal Hirota equations via Riemann-Hilbert approach

被引：4
|
作者：
Zhuang, Yindong [1 ]
Zhang, Yi [1 ]
Zhang, Heyan [1 ]
Xia, Pei [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2022年 / 74卷 / 11期
基金：
中国国家自然科学基金;
关键词：
the nonlocal Hirota equation; Riemann-Hilbert approach; multi-soliton solutions; INVERSE SCATTERING TRANSFORM; SOLITON-SOLUTIONS; DARBOUX TRANSFORMATION;
D O I：
10.1088/1572-9494/ac8afc
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The purpose of the paper is to formulate multi-soliton solutions for the nonlocal Hirota equations via the Riemann-Hilbert (RH) approach. The RH problems are constructed and the zero structures are studied via performing spectral analysis of the Lax pair. Then we consider three types of nonlocal Hirota equations by discussing different symmetry reductions of the potential matrix. On the basis of the resulting matrix RH problem under the restriction of the reflectionless case, we successfully obtain the multi-soliton solutions of the nonlocal Hirota equations.
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页数：8
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