The focusing NLS equation with step-like oscillating background: the genus \(3\) sector

DOI10.1007/s00220-021-04288-4OpenAlexW3021314861MaRDI QIDQ2113502

Jonatan Lenells, Dimitry Shepelsky, Anne Boutet de Monvel-Berthier

Publication date: 14 March 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02822

zbMATH Keywords

nonlinear Schrödinger equationasymptotic analysisRiemann-Hilbert approach

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) KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Theta functions and abelian varieties (14K25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Riemann-Hilbert problems in context of PDEs (35Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Uses Software

• DLMF

Cites Work

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