Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

DOI10.1063/1.5036705zbMath1436.35293arXiv1710.07961OpenAlexW3100214896MaRDI QIDQ5379343

Yan Rybalko, Dimitry Shepelsky

Publication date: 28 May 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07961

Mathematics Subject Classification ID

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) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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