Periodic solutions of a resistive model for nonlocal Josephson dynamics
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
A novel method is developed for constructing periodic solutions of a model equation describing nonlocal Josephson electrodynamics. This method consists of reducing the equation to a system of linear ordinary differential equations through a sequence of nonlinear transformations. The periodic solutions are then obtained by a standard procedure which are represented in terms of trigonometric functions. It is found that the large time asymptotic of the solution exhibits a steady profile which does not depend on initial conditions.
Cite
@article{arxiv.0811.1623,
title = {Periodic solutions of a resistive model for nonlocal Josephson dynamics},
author = {Yoshimasa Matsuno},
journal= {arXiv preprint arXiv:0811.1623},
year = {2009}
}
Comments
To appear in j. Phys. A: Math. Theore. 41(2008)