Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2001-08-04
Nonlinear Sciences
Exactly Solvable and Integrable Systems
AMS-Tex, 14 pages
Scientific paper
10.1016/S0393-0440(02)00017-7
In the previous work (J. Geom. Phys. {\bf{39}} (2001) 50-61), the closed loop solitons in a plane, \it i.e., loops whose curvatures obey the modified Korteweg-de Vries equations, were investigated for the case related to algebraic curves with genera one and two. This article is a generalization of the previous article to those of hyperelliptic curves with general genera. It was proved that the tangential angle of loop soliton is expressed by the Weierstrass hyperelliptic al function for a given hyperelliptic curve $y^2 = f(x)$ with genus $g$.
No associations
LandOfFree
Hyperelliptic Loop Solitons with Genus g: Investigations of a Quantized Elastica 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 Hyperelliptic Loop Solitons with Genus g: Investigations of a Quantized Elastica, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperelliptic Loop Solitons with Genus g: Investigations of a Quantized Elastica will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-44031