Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation

DOI10.1016/j.physd.2021.133060zbMath1490.35448arXiv2106.10960OpenAlexW3204745324MaRDI QIDQ2077814

Yan Rybalko, Dimitry Shepelsky

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10960

zbMATH Keywords

Riemann-Hilbert problemmodulation instabilitynonlocal nonlinear Schrödinger equationnonlinear steepest decent method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮ Focusing nonlocal nonlinear Schrödinger equation with asymmetric boundary conditions: large-time behavior

Uses Software

• DLMF

Cites Work

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