Exterior differential systems and prolongations for three important nonlinear partial differential equations

DOI10.3934/cpaa.2011.10.1345zbMath1229.35033OpenAlexW2317575763MaRDI QIDQ652041

Paul Bracken

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1345

zbMATH Keywords

connectionprolongationintegral manifoldsexterior differential system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Fiber bundles in algebraic topology (55R10)

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