Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data
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Publication:2662081
DOI10.1007/s00220-021-03941-2zbMath1462.35367arXiv1908.06415OpenAlexW3127925420MaRDI QIDQ2662081
Yan Rybalko, Dimitry Shepelsky
Publication date: 8 April 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.06415
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Higher-order parabolic equations (35K25)
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