Geodesic
Reality conditions of loop solitons genus \(g\): hyperelliptic am functions
Electronic journal of differential equations, Tome 2007 (2007)
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.
Classification : 37K20, 35Q53, 14H45, 14H70
Keywords: loop soliton, elastica, reality condition, hyperelliptic functions 
@article{EJDE_2007__2007__a58,
     author = {Matsutani,  Shigeki},
     title = {Reality conditions of loop solitons genus \(g\): hyperelliptic am functions},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1134.37034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a58/}
}
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Matsutani,  Shigeki. Reality conditions of loop solitons genus \(g\): hyperelliptic am functions. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a58/