Riemann–Hilbert approach for multi-soliton solutions of a fourth-order nonlinear Schrödinger equation-Reference-Cited by-同舟云学术

Riemann–Hilbert approach for multi-soliton solutions of a fourth-order nonlinear Schrödinger equation

Published:2019-11-30 Issue:33 Volume:33 Page:1950416
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Liu Wenhao¹^ORCID,Liu Yan²,Zhang Yufeng¹,Shi Dandan¹

Affiliation:

1. School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

2. Software Institute, Nanjing University, Nanjing, Jiangsu 210093, China

Abstract

In this paper, we consider the Riemann–Hilbert (RH) method for a fourth-order nonlinear Schrödinger (NLS) equation, which is reduced on the basis of the generalized Davydov’s model by selecting some special parameters. On the basis of the spectral analysis for the Lax pair of the equation, the RH problem is presented. Through a specific RH problem in the sense of irregularity, the multi-soliton solutions are also obtained. In addition, dynamic behaviors of these soliton solutions are given to illustrate the soliton characteristics.

Funder

Postgraduate Research & Practice Innovation Program of Jiangsu Province

Fundamental Research Funds for the Central University

Postgraduate Research & Practice Innovation Program of China University of Mining and Technology

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984919504165

Reference27 articles.

1. Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas