The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications

DOI10.1007/s13324-022-00704-7zbMath1504.35467OpenAlexW4285095032WikidataQ114220012 ScholiaQ114220012MaRDI QIDQ2154619

Yanpei Zhen, Jinbing Chen

Publication date: 20 July 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00704-7

zbMATH Keywords

quasi-periodic solutioncomplex Hamiltonian systemGerdjikov-Ivanov equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Relationships between algebraic curves and integrable systems (14H70) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Theta functions and curves; Schottky problem (14H42) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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The long-time asymptotics of the derivative nonlinear Schrödinger equation with step-like initial value

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