The complex Hamiltonian systems and quasi‐periodic solutions in the derivative nonlinear Schrödinger equations

DOI10.1111/sapm.12311zbMath1452.35180OpenAlexW3022813482MaRDI QIDQ5134366

Runsu Zhang, Jinbing Chen

Publication date: 16 November 2020

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12311

zbMATH Keywords

quasi-periodic solutionsderivative nonlinear Schrödinger equationscomplex Hamiltonian systems

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)

Related Items (6)

The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications ⋮ Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure ⋮ Quasi‐periodic solutions to a hierarchy of integrable nonlinear differential–difference equations ⋮ Algebro-geometric solutions of the sine-Gordon hierarchy ⋮ On the stability of periodic waves for the cubic derivative NLS and the quintic NLS ⋮ Modulational instability of periodic standing waves in the derivative NLS equation

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