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...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.展开更多
基金supported by the National Natural Science Foundation of China(No.11371326 and No.11975145)。
文摘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.
