Explicit solutions of PDE via Vessiot theory and solvable structures
DOI10.1088/1751-8113/47/31/315207zbMath1304.35040arXiv1401.0414OpenAlexW3101782076MaRDI QIDQ2877418
Publication date: 22 August 2014
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.0414
Pfaffian systemFrobenius integrabilityintegrable sub-distributionsmulti-dimensional second order PDEsnon-integrable Vessiot distribution
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Pfaffian systems (58A17) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06)
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