Work

Lax Pairs for Linear Hamiltonian Systems

Year: 2019

Type: article

Abstract: We construct Lax pairs for linear Hamiltonian systems of differential equations. In particular, the Gröbner bases are used for computations. It is proved that the mappings in the construction of Lax pairs are Poisson. Under study are the various properties of first integrals of the system which are obtained from Lax pairs.

Source: Siberian Mathematical Journal

DOI: 10.1134/s0037446619040050

Authors: A. B. Zheglov, D. V. Osipov

Institutions: Lomonosov Moscow State University, National Research University Higher School of Economics, National University of Science and Technology, Steklov Mathematical Institute

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2912860207

FWCI: 0.352

Cites: 8

Cited by: 3

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