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

被引:38
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
相关论文
共 22 条
  • [1] Inverse scattering transform for the nonlocal nonlinear Schrodinger equation with nonzero boundary conditions
    Ablowitz, Mark J.
    Luo, Xu-Dan
    Musslimani, Ziad H.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (01)
  • [2] Integrable Nonlocal Nonlinear Equations
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. STUDIES IN APPLIED MATHEMATICS, 2017, 139 (01) : 7 - 59
  • [3] Inverse scattering transform for the integrable nonlocal nonlinear Schrodinger equation
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. NONLINEARITY, 2016, 29 (03) : 915 - 946
  • [4] Integrable Nonlocal Nonlinear Schrodinger Equation
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 110 (06)
  • [5] Real spectra in non-Hermitian Hamiltonians having PT symmetry
    Bender, CM
    Boettcher, S
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (24) : 5243 - 5246
  • [6] Karjanto N., 2014, ARXIV14014241
  • [7] Nonlocal nonlinear Schrodinger equation and its discrete version: Soliton solutions and gauge equivalence
    Ma, Li-Yuan
    Zhu, Zuo-Nong
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (08)
  • [8] Optical solitons in PT periodic potentials
    Musslimani, Z. H.
    Makris, K. G.
    El-Ganainy, R.
    Christodoulides, D. N.
    [J]. PHYSICAL REVIEW LETTERS, 2008, 100 (03)
  • [9] Parity-time synthetic photonic lattices
    Regensburger, Alois
    Bersch, Christoph
    Miri, Mohammad-Ali
    Onishchukov, Georgy
    Christodoulides, Demetrios N.
    Peschel, Ulf
    [J]. NATURE, 2012, 488 (7410) : 167 - 171
  • [10] Symmetries and exact solutions of a class of nonlocal nonlinear Schrodinger equations with self-induced parity-time-symmetric potential
    Sinha, Debdeep
    Ghosh, Pijush K.
    [J]. PHYSICAL REVIEW E, 2015, 91 (04):