The Prolongation Structure of the Modified Nonlinear Schrödinger Equation and Its Initial-Boundary Value Problem on the Half Line via the Riemann-Hilbert Approach

The Prolongation Structure of the Modified Nonlinear Schrödinger Equation and Its Initial-Boundary Value Problem on the Half Line via the Riemann-Hilbert Approach

In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fokas method. A Riemann-Hilbert problem is formul...

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Bibliographic Details
Main Authors:	Tongshuai Liu, Huanhe Dong
Format:	Article
Language:	English
Published:	MDPI AG 2019-02-01
Series:	Mathematics
Subjects:	prolongation structure mNLS equation Riemann-Hilbert problem initial-boundary value problem
Online Access:	https://www.mdpi.com/2227-7390/7/2/170

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