Admissible boundary values for the Gerdjikov-Ivanov equation with asymptotically time-periodic boundary data

DOI10.3842/SIGMA.2020.079zbMath1458.37072arXiv2003.05765OpenAlexW3011437278MaRDI QIDQ2217954

Samuel Fromm

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05765

zbMATH Keywords

initial-boundary value problemlong-time asymptoticsintegrable system

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (2)

The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications ⋮ The long-time asymptotics of the derivative nonlinear Schrödinger equation with step-like initial value

Cites Work

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• Inverse scattering on the line
• THE FOCUSING NONLINEAR SCHRÖDINGER EQUATION ON THE QUARTER PLANE WITH TIME-PERIODIC BOUNDARY CONDITION: A RIEMANN–HILBERT APPROACH
• The nonlinear Schrödinger equation with t -periodic data: I. Exact results
• The nonlinear Schrödinger equation with t -periodic data: II. Perturbative results

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