Wronskian solutions to the KdV equation via Bäcklund transformation

Details Wronskian solutions to the KdV equation via Bäcklund transformation Wronskian solutions to the KdV equation via Bäcklund transformation

2007-06-24

arxiv.org/abs/0706.3487v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages

Scientific paper

In the paper we discuss the B\"acklund transformation of the KdV equation between solitons and solitons, between negatons and negatons, between positons and positons, between rational solution and rational solution, and between complexitons and complexitons. We investigate the conditions that Wronskian entries satisfy for the bilinear B\"acklund transformation of the KdV equation. By choosing suitable Wronskian entries and the parameter in the bilinear B\"acklund transformation, we obtain transformations between many kinds of solutions.

Affiliated with

Also associated with

No associations

Rating

Wronskian solutions to the KdV equation via Bäcklund 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 Wronskian solutions to the KdV equation via Bäcklund transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wronskian solutions to the KdV equation via Bäcklund transformation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-703985