The Cauchy problem for Darboux integrable systems and non-linear d'Alembert formulas

DOI10.3842/SIGMA.2013.017zbMath1270.35181arXiv1210.2370MaRDI QIDQ352475

Mark E. Fels, Ian M. Anderson

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2370

zbMATH Keywords

Darboux integrabilityexterior differential systemsexplicit integral formulasgeneric non-characteristic initial dataVessiot group

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Integral representations of solutions to PDEs (35C15) Invariance and symmetry properties for PDEs on manifolds (58J70) Exterior differential systems (Cartan theory) (58A15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (3)

On discretization of Darboux Integrable Systems admitting second-order integrals ⋮ Bäcklund transformations for Darboux integrable differential systems ⋮ Bäcklund transformations for Darboux integrable differential systems: examples and applications

This page was built for publication: The Cauchy problem for Darboux integrable systems and non-linear d'Alembert formulas