The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: Anderson, I.M., Fels, M.E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149223
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas / I.M. Anderson, M.E. Fels // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 назв. — англ.

To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group. This article shows that solving the Cauchy problem for a Darboux integrable partial differential equation can be reduced to solving an equation of...