高阶Chen-Lee-Liu方程在半直线上的初边值问题

Abstract

Abstract:

In this paper, the initial-boundary value problems of the higher-order Chen-Lee-Liu (HOCLL) equation on the half-line has been analysed via the Fokas method. We show that the solution q(x, t) of HOCLL equation can be expressed in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter λ.

Key words: Riemann-Hilbert problem, Higher-order Chen-Lee-Liu equation, Jump matrix, Fokas method

CLC Number:

O175

Beibei Hu,Ling Zhang,Ning Zhang. An Initial-Boundary Value Problem for the Higher-Order Chen-Lee-Liu Equation on the Half-Line[J].Acta mathematica scientia,Series A, 2020, 40(2): 422-431.

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References 30

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An Initial-Boundary Value Problem for the Higher-Order Chen-Lee-Liu Equation on the Half-Line

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