Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functions
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🧮 math-ph
math.MP
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hyperellipticloopgenusinvestigationrealitysolitonsam-functionarticle
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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.
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