On a generalization of Jacobi's elliptic functions and the Double Sine-Gordon kink chain
Mathematical Physics
2015-05-14 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0909.2026,
title = {On a generalization of Jacobi's elliptic functions and the Double Sine-Gordon kink chain},
author = {Michael Pawellek},
journal= {arXiv preprint arXiv:0909.2026},
year = {2015}
}
Comments
18 pages, 9 figures, 3 tables