Defocusing nonlocal nonlinear Schr\"odinger equation with step-like boundary conditions: long-time behavior for shifted initial data
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Publication:5155064
zbMath1488.35091arXiv2011.02300MaRDI QIDQ5155064
Yan Rybalko, Dimitry Shepelsky
Publication date: 5 October 2021
Full work available at URL: https://arxiv.org/abs/2011.02300
Riemann-Hilbert problemlong-time asymptoticsnonlocal nonlinear Schrödinger equationnonlinear steepest descent method
Asymptotic behavior of solutions to PDEs (35B40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Riemann-Hilbert problems in context of PDEs (35Q15)
Related Items (4)
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions ⋮ Multi-soliton solutions for the nonlocal Kundu-nonlinear Schrödinger equation with step-like initial data ⋮ Long-Time Asymptotics for the Modified Camassa–Holm Equation with Nonzero Boundary Conditions ⋮ Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation
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