COUPLED NONLOCAL NONLINEAR SCHR?DINGER EQUATION AND N-SOLITON SOLUTION FORMULA WITH DARBOUX TRANSFORMATION

论文摘要

Ablowitz and Musslimani proposed some new nonlocal nonlinear integrable equations including the nonlocal integrable nonlinear Schr?dinger equation. In this paper, we investigate the Darboux transformation of coupled nonlocal nonlinear Schr?dinger（CNNLS） equation with a spectral problem. Starting from a special Lax pairs, the CNNLS equation is constructed. Then, we obtain the one-, two-and N-soliton solution formulas of the CNNLS equation with N-fold Darboux transformation. Based on the obtained solutions, the propagation and interaction structures of these multi-solitons are shown, the evolution structures of the one-dark and one-bright solitons are exhibited with N = 1,and the overtaking elastic interactions among the two-dark and two-bright solitons are considered with N = 2. The obtained results are different from those of the solutions of the local nonlinear equations. Some different propagation phenomena can also be produced through manipulating multi-soliton waves.The results in this paper might be helpful for understanding some physical phenomena described in plasmas.

论文目录

文章来源

类型: 期刊论文

作者: Rui Fan,Fajun Yu

来源: Annals of Applied Mathematics 2019年01期

年度: 2019

分类: 基础科学

专业: 数学

单位: School of Math.and Systematic Sciences, Shenyang Normal University

基金: supported by the Natural Science Foundation of Liaoning Province(Grant No.201602678)

分类号: O175.29

页码: 47-62

总页数: 16

文件大小: 796K

下载量: 22

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