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arXiv · 0909.2026

On a generalization of Jacobi's elliptic functions and the Double Sine-Gordon kink chain

Michael Pawellek
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Abstract

A generalization of Jacobi's elliptic functions is introduced as inversions of hyperelliptic integrals. We discuss the special properties of these functions, present addition theorems and give a list of indefinite integrals. As a physical application we show that periodic kink solutions (kink chains) of the double sine-Gordon model can be described in a canonical form in terms of generalized Jacobi functions.

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Michael Pawellek. 2009-09-10. On a generalization of Jacobi's elliptic functions and the Double Sine-Gordon kink chain. https://doi.org/10.1063/1.3656873

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