A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line. Issue 12 (2nd December 2019)

• Record Type: Journal Article
• Authors: Hu, Beibei; Xia, Tiecheng
• Is Part Of: Complex variables and elliptic equations. Volume 64:Issue 12(2019)
• Page Start: 2019
• Page End: 2039
• Publication Date: 2019-12-02
• Subjects: Riemann-Hilbert problem -- Kundu-Eckhaus equation -- jump matrix -- Fokas unified transform approach; 35Q15 -- 35Q51 -- 37K10; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2019.1571047
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: In this work, we probe the initial-boundary value problem of the Kundu-Eckhaus (KE) equation on the half-line by using of the Fokas unified transform approach. The solution of KE equation can be got in terms of the solution of a matrix Riemann-Hilbert (RH) problem formulated in the plane of the complex spectral parameter λ .