Bäcklund Transformations an Zero-Curvature Representations of Systems of Partial Differential Equations

Details Bäcklund Transformations an Zero-Curvature Representations of Systems of Partial Differential Equations Bäcklund Transformations an Zero-Curvature Representations of Systems of Partial Differential Equations

1994-05-10

arxiv.org/abs/hep-th/9405064v1

J.Math.Phys. 35 (1994) 2463-2484

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1063/1.530517

It is shown that B\"acklund transformations (BTs) and zero-curvature representations (ZCRs) of systems of partial differential equations (PDEs) are closely related. The connection is established by nonlinear representations of the symmetry group underlying the ZCR which induce gauge transformations relating different BTs. This connection is used to construct BTs from ZCRs (and vice versa). Furthermore a procedure is outlined which allows a systematic search for ZCRs of a given system of PDEs.

Affiliated with

Also associated with

No associations

Rating

Bäcklund Transformations an Zero-Curvature Representations of Systems of Partial Differential Equations 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 Bäcklund Transformations an Zero-Curvature Representations of Systems of Partial Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bäcklund Transformations an Zero-Curvature Representations of Systems of Partial Differential Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289069