Cartan matrices in the Toda-Darboux chain theory

DOI10.1134/S0040577918070024zbMath1400.37065OpenAlexW2887461093MaRDI QIDQ1616292

A. B. Shabat, Vsevolod Eduardovich Adler

Publication date: 1 November 2018

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

Full work available at URL: https://doi.org/10.1134/s0040577918070024

zbMATH Keywords

Cartan matrixpolynomial first integralexponential system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Cites Work

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• Symmetries of nonlinear hyperbolic systems of the Toda chain type
• On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space
• POLYNOMIAL INTEGRALS OF HAMILTONIAN SYSTEMS WITH EXPONENTIAL INTERACTION

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