Transformations of Darboux Integrable Systems

Authors

Ian M. Anderson, Utah State UniversityFollow
Mark E. Fels, Utah State UniversityFollow

Document Type

Contribution to Book

Journal/Book Title/Conference

Differential equations : geometry, symmetries and integrability : the Abel Symposium 2008, proceedings of the Fifth Abel Symposium, Tromsø, Norway, June 17-22, 2008 Abel Symposia, 2009

Publisher

Springer Verlag

Publication Date

2009

First Page

21

Last Page

48

Abstract

This article reviews some recent theoretical results about the structure of Darboux integrable differential systems and their relationship with symmetry reduction of exterior differential systems. The symmetry reduction representation of Darboux integrable equations is then used to derive some new and unusual transformations.

Comments

Proceedings of the 2008 Abel Conference, Tromso, Norway, June 17-22, 2008. Published by Springer. Online version of book available online through link above; subscription required to access content.

Recommended Citation

Anderson, I. and Fels, M. (2009). Transformations of Darboux Integrable Systems in Differential equations: Geometry, symmetries and integrability : the Abel Symposium 2008, proceedings of the Fifth Abel Symposium, Tromsø, Norway, June 17-22, 2008. Berlin: Springer.