Symmetries of nonlinear hyperbolic systems of the Toda chain type

DOI10.1007/s11232-008-0069-9zbMath1167.37034OpenAlexW1971714291MaRDI QIDQ946451

B. E. Eshmatov

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11232-008-0069-9

zbMATH Keywords

symmetryNoether theoremToda chainLiouville equationhyperbolic system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (11)

Cartan matrices in the Toda-Darboux chain theory ⋮ Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries ⋮ Integral preserving discretization of 2D Toda lattices ⋮ Relationships between symmetries depending on arbitrary functions and integrals of discrete equations ⋮ Symmetry algebras of Lagrangian Liouville-type systems ⋮ Integrals of open two-dimensional lattices ⋮ Symmetry drivers and formal integrals of hyperbolic systems ⋮ Structure of set of symmetries for hyperbolic systems of Liouville type and generalized Laplace invariants ⋮ Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1) ⋮ On non-Abelian Toda A2(1) model and related hierarchies ⋮ Darboux integrability of discrete two-dimensional Toda lattices

Cites Work

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• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems
• On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space
• Higher symmetries of two-dimensional lattices
• Exactly integrable hyperbolic equations of Liouville type

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