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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.
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页数:8
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