Superposition formulas for exterior differential systems

DOI10.1016/j.aim.2009.03.010zbMath1196.37104OpenAlexW2141452018MaRDI QIDQ1028351

Mark E. Fels, Peter J. Vassiliou, Ian M. Anderson

Publication date: 30 June 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2009.03.010

zbMATH Keywords

integrabilityexterior differential systemshyperbolic partial differential equationsDarboux integration

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Pfaffian systems (58A17) Exterior differential systems (Cartan theory) (58A15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (17)

Loewy decomposition of linear differential equations ⋮ Lie Theorem via Rank 2 Distributions (Integration of PDE of Class ω = 1) ⋮ A solvable string on a Lorentzian surface ⋮ Bäcklund transformations and Darboux integrability, revisited ⋮ Symmetry reduction of exterior differential systems and Bäcklund transformations for PDE in the plane ⋮ Symmetry, compatibility and exact solutions of PDEs ⋮ Darboux integrability for diagonal systems of hydrodynamic type ⋮ Rank 2 distributions of Monge equations: symmetries, equivalences, extensions ⋮ Hyperbolic reduction ⋮ The variational bi-complex for systems of semi-linear hyperbolic PDEs in three variables ⋮ Isometric immersions of surfaces: classical approaches and integrability ⋮ Method for Solving the Multidimensional n-Wave Resonant Equations and Geometry of Generalized Darboux-Manakov-Zakharov Systems ⋮ On characteristic integrals of Toda field theories ⋮ Transformations of Darboux Integrable Systems ⋮ Isometric embedding and Darboux integrability ⋮ Bäcklund transformations for Darboux integrable differential systems ⋮ Bäcklund transformations for Darboux integrable differential systems: examples and applications

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