The Gerdjikov‐Ivanov–type derivative nonlinear Schrödinger equation: Long‐time dynamics of nonzero boundary conditions

DOI10.1002/MMA.5698zbMath1423.35146arXiv1812.03257OpenAlexW2946899652MaRDI QIDQ5240308

Publication date: 25 October 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03257

zbMATH Keywords

Riemann-Hilbert problem long-time asymptotics nonlinear steepest descent method Gerdjikov-Ivanov-type derivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (5)

Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ Painlevé-type asymptotics of an extended modified KdV equation in transition regions ⋮ Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons ⋮ The long-time asymptotics of the derivative nonlinear Schrödinger equation with step-like initial value ⋮ Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations

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