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

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.

18 pages, 9 figures, 3 tables

References in corpus (3)

• Semiclassical Particle Spectrum of Double Sine-Gordon Model
• Dynamical systems on infinitely sheeted Riemann surfaces
• Quasi-doubly periodic solutions to a generalized Lame equation

Cited by in corpus (2)

• Dynamics of kink train solutions in deformed Multiple sine-Gordon models
• Application of the Small Tip-Angle approximation in the Toggling Frame for the design of analytic robust pulses in Quantum Control