On the variational integrating matrix for hyperbolic systems

DOI10.1007/s10958-008-9034-2zbMath1158.35311OpenAlexW2106842544MaRDI QIDQ950876

B. E. Eshmatov

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9034-2

zbMATH Keywords

family of higher symmetriesgeneralized Laplace invariants

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) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries ⋮ Lax pair for a novel two-dimensional lattice ⋮ Symmetry algebras of Lagrangian Liouville-type systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On conservation laws for the Toda equations
• One class of Liouville-type systems
• Laplace transformations of hydrodynamic-type systems in Riemann invariants
• The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane
• Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations
• Laplace invariants of two-dimensional open Toda lattices
• Exactly integrable hyperbolic equations of Liouville type
• On the Existence of Global Variational Principles
• Hyperbolic equations admitting differential substitutions

This page was built for publication: On the variational integrating matrix for hyperbolic systems