Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions

DOI10.1134/S0040577920020014zbMath1445.37044OpenAlexW3013463632MaRDI QIDQ2193677

Alisher B. Yakhshimuratov

Publication date: 20 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0040577920020014

zbMATH Keywords

Dirac operatornonlinear Schrödinger equationspectral dataself-consistent sourceDubrovin-Trubowitz system of equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions ⋮ Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions ⋮ Integration of negative-order modified Korteweg-de Vries equation in a class of periodic functions

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