Regularization of a sharp shock by the defocusing nonlinear Schrödinger equation

DOI10.1088/0951-7715/28/7/2131zbMath1322.35107arXiv1402.4708OpenAlexW2964021073MaRDI QIDQ2944159

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Publication date: 28 August 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4708

zbMATH Keywords

integrable systemsnonlinear opticslong-time asymptoticsnonlinear Schrödinger equationsRiemann-Hilbert problemsdispersive shock wavesdispersive regularization

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Shock waves and blast waves in fluid mechanics (76L05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

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