Eur. Phys. J. B 21, 103-107 (2001)
https://doi.org/10.1007/s100510170218

Chaotic solitons in Sine-Gordon system

¹ CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China
² Department of Physics, Hunan Normal University, Changsha 410081, PR China
³ Department of Analysis and Measurement, Wuhan University, Wuhan 430072, PR China

Corresponding author: ^a adcve@public.cs.hn.cn

Received: 25 December 2000
Published online: 15 May 2001

Abstract

We extend the constant-variation method to the case of partial differential equations. Applying the method to periodically perturbed Sine-Gordon system, we find some novel solitons, which are embedded in a chaotic attractor and possess controllable velocity of motion. Taking periodically driven long Josephson junction as an example the corresponding chaotic region in parameter space and chaotic orbit are obtained analytically and numerically.