Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
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Publication:311759
DOI10.1016/j.aml.2016.07.024zbMath1351.35195arXiv1606.08787OpenAlexW2963768911MaRDI QIDQ311759
Hongjun Zhang, Hengji Li, Tao Xu, Sha Lan, Min Li
Publication date: 13 September 2016
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.08787
Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
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Cites Work
- \(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
- Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
- Peregrine rogue wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
- Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
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