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

作　　者：Yindong Zhuang Yi Zhang Heyan Zhang Pei Xia 

机构地区：[1]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China

出　　处：《Communications in Theoretical Physics》2022年第11期37-44,共8页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11371326 and No.11975145)。

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.

关 键 词：the nonlocal Hirota equation Riemann-Hilbert approach multi-soliton solutions 

分 类 号：O175[理学—数学]