Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

DOI10.1111/SAPM.12403zbMath1479.35821arXiv2004.05987OpenAlexW3166864448MaRDI QIDQ5159564

Yan Rybalko, Dimitry Shepelsky

Publication date: 28 October 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05987

zbMATH Keywords

nonlinear wavesRiemann-Hilbert problemasymptotic analysisnonlinear steepest descent methodsolitons and integrable systemsnonlocal nonlinear integrable equations

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) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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