REALITY CONDITIONS OF LOOP SOLITONS GENUS g: HYPERELLIPTIC AM FUNCTIONS
نویسنده
چکیده
This article is devoted to an investigation of a reality condition of a hyperelliptic loop soliton of higher genus. In the investigation, we have a natural extension of Jacobi am-function for an elliptic curves to that for a hyperelliptic curve. We also compute winding numbers of loop solitons.
منابع مشابه
Hyperelliptic loop solitons with genus g: investigations of a quantized elastica
In the previous work (J. Geom. Phys. 39 (2001) 50-61), the closed loop solitons in a plane, 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 ...
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