Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation

DOI10.1080/14029251.2015.1079428zbMath1420.35364arXiv1412.7636OpenAlexW1570563957MaRDI QIDQ5231000

Lech Zielinski, Spyridon Kamvissis, Dimitry Shepelsky

Publication date: 29 August 2019

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

Full work available at URL: https://arxiv.org/abs/1412.7636

zbMATH Keywords

nonlinear Schrödinger equationinitial boundary value problemsoscillatory initial data

Mathematics Subject Classification ID

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions ⋮ Initial value problems for integrable systems on a semi-strip ⋮ Evolution of Weyl Functions and Initial-Boundary Value Problems ⋮ Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions

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