Existence of conservation laws and characterization of recursion operators for completely integrable systems

DOI10.1090/S0002-9947-97-01974-0zbMath0888.35025MaRDI QIDQ4372595

Mohamad Mehdi, Joseph Grifone

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cartan-Kähler theoremPoisson-Nijenhuis manifoldsquasi-linear partial differential equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear higher-order PDEs (35G20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (5)

Sundman transformation and alternative tangent structures ⋮ Veronese webs and nonlinear PDEs ⋮ Webs, Nijenhuis operators, and heavenly PDEs ⋮ Kronecker webs, Nijenhuis operators, and nonlinear PDEs ⋮ Nijenhuis geometry

Cites Work

• Les lois de conservation
• Integrability criteria for systems of nonlinear partial differential equations
• On Spencer's estimate for \(\delta\)-Poincaré
• Equation de Lie. I, II
• The existence of conservation laws. I
• Hyperbolic systems of conservation laws II
• Sur certaines -formes en dimension
• Overdetermined systems of linear partial differential equations
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