Hodge-Frobenius equations and the Hodge-Backlund transformation

Details Hodge-Frobenius equations and the Hodge-Backlund transformation Hodge-Frobenius equations and the Hodge-Backlund transformation

2009-07-15

arxiv.org/abs/0907.2685v1

Proceedings of the Royal Society of Edinburgh Sec. A, Vol. 140, No. 4, pp 787--819 (2010)

Mathematics

Analysis of PDEs

36 pages

Scientific paper

Linear and nonlinear Hodge-like systems for 1-forms are studied, with an assumption equivalent to complete integrability substituted for the requirement of closure under exterior differentiation. The systems are placed in a variational context and properties of critical points investigated. Certain standard choices of energy density are related by Backlund transformations which employ basic properties of the Hodge involution. These Hodge-Backlund transformations yield invariant forms of classical Backlund transformations that arise in diverse contexts. Some extensions to higher-degree forms are indicated.

Affiliated with

Also associated with

No associations

Rating

Hodge-Frobenius equations and the Hodge-Backlund transformation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hodge-Frobenius equations and the Hodge-Backlund transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hodge-Frobenius equations and the Hodge-Backlund transformation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-365383