Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations

Details Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations

2012-04-20

arxiv.org/abs/1204.4569v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Accepted for publication in Journal of Nonlinear Mathematical Physics, Vol. 19

Scientific paper

We report triangular auto-B\"acklund transformations for the solutions of a fifth-order evolution equation, which is a constraint for an invariance condition of the Kaup-Kupershmidt equation derived by E. G. Reyes in his paper titled "Nonlocal symmetries and the Kaup-Kupershmidt equation" [{\it J. Math. Phys.} {\bf 46}, 073507, 19 pp., 2005]. These auto-B\"acklund transformations can then be applied to generate solutions of the Kaup-Kupershmidt equation. We show that triangular auto-B\"acklund transformations result from a systematic multipotentialisation of the Kupershmidt equation.

Affiliated with

Also associated with

No associations

Rating

Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations 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 Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-5439