Darboux transformation and soliton solutions in the parity-time-symmetric nonlocal vector nonlinear Schrödinger equation
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Publication:1680034
DOI10.1016/j.aml.2017.09.002zbMath1379.35300OpenAlexW2755816799MaRDI QIDQ1680034
Meng-Yue Zhang, Rui Hu, Hai-Qiang Zhang
Publication date: 22 November 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.09.002
Spectral theory and eigenvalue problems for partial differential equations (35P99) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
- Unnamed Item
- Integrable nonlinear Schrödinger systems and their soliton dynamics
- Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential
- Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation
- Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants
- Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
- Lax pair and Darboux transformation for multi-component modified Korteweg–de Vries equations
- Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
- An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation
