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

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

2009-09-10

arxiv.org/abs/0909.2026v1

Physics

Mathematical Physics

18 pages, 9 figures, 3 tables

Scientific paper

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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