Integrable discretizations for the short wave model of the Camassa-Holm equation

Details Integrable discretizations for the short wave model of the Camassa-Holm equation Integrable discretizations for the short wave model of the Camassa-Holm equation

2010-02-19

arxiv.org/abs/1002.3649v1

Journal of Physics A: Mathematical and Theoretical, 43 (2010) 265202

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1088/1751-8113/43/26/265202

The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-cuspon solution of the SCHE in Casorati determinant is then given. Based on the above finding, integrable semi-discrete and full-discrete analogues of the SCHE are constructed. The determinant solutions of both semi-discrete and fully discrete analogues of the SCHE are also presented.

Affiliated with

Also associated with

No associations

Rating

Integrable discretizations for the short wave model of the Camassa-Holm equation 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 Integrable discretizations for the short wave model of the Camassa-Holm equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable discretizations for the short wave model of the Camassa-Holm equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-363127