Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data

DOI10.1016/j.jde.2020.08.003zbMath1451.35194arXiv1906.08489OpenAlexW2952375760MaRDI QIDQ2208455

Yan Rybalko, Dimitry Shepelsky

Publication date: 3 November 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08489

zbMATH Keywords

Riemann-Hilbert problemlarge time asymptoticsnonlinear steepest descent methodnonlocal integrable equationsCauchy problem with step-like initial values

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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