Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-08-05
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
We construct explicit solutions to continuous motion of discrete plane curves described by a semi-discrete potential modified KdV equation. Explicit formulas in terms the $\tau$ function are presented. B\"acklund transformations of the discrete curves are also discussed. We finally consider the continuous limit of discrete motion of discrete plane curves described by the discrete potential modified KdV equation to motion of smooth plane curves characterized by the potential modified KdV equation.
Inoguchi Jun-ichi
Kajiwara Kenji
Matsuura Nozomu
Ohta Yasuhiro
No associations
LandOfFree
Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves 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 Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-668720