Nonlinear model of Schrödinger type: conservation laws, Hamiltonian structure, and complete integrability

DOI10.1007/BF01017940zbMath0618.35113OpenAlexW2090866195WikidataQ114852742 ScholiaQ114852742MaRDI QIDQ1822283

A. M. Kurbatov, Anatoliy K. Prykarpatsky, Nikolai N. jun. Bogoliubov, Valeriy H. Samoylenko

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01017940

zbMATH Keywords

nonlinear evolutionRiemann theta functionsLax type representationsHamiltonian completely integrableSchrödinger-type nonlinear model

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions ⋮ Boundary-value problems for the evolutionary Schrödinger equation. I

Cites Work

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• Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Applications of functional analysis and operator theory

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