Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrodinger equations

被引:37
|
作者
Yu, Fajun [1 ,2 ]
Fan, Rui [2 ]
机构
[1] Shanghai Maritime Univ, Coll Arts & Sci, Shanghai 201306, Peoples R China
[2] Shenyang Normal Univ, Sch Math & Systemat Sci, Shenyang 110034, Peoples R China
关键词
Coupled nonlocal nonlinear; Schrodinger equation; Hirota method; Bright soliton; GROSS-PITAEVSKII EQUATION; TRANSFORMATION; DYNAMICS; SOLITON;
D O I
10.1016/j.aml.2020.106209
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We develop a nonstandard bilinearization procedure to generate more general bright soliton, breather soliton and quasi-rogue wave solutions for the PT-symmetric coupled nonlocal nonlinear Schrodinger (CNNLS) equations. We achieve some novel solutions by bilinearizing both the CNNLS equations and their associated auxiliary equations in a novel way. The soliton equations are written into bilinear operator forms by means of auxiliary equations, then the 1-soliton solution and 2-soliton solution of PT-symmetric CNNLS equations are constructed. Some novel interaction properties of the PT-symmetric two-soliton solutions are derived, which can present the potential applications to the soliton wave phenomena in nonlocal wave models. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数:8
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