Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Staff

Publication details for Wojtek Zakrzewski

Ferreira, L.A., Piette, B. & Zakrzewski, W.J. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical Review E 77: 036613.

Author(s) from Durham

Abstract

We study various solutions of the sine-Gordon model in (1+1) dimensions. We use the Hirota method to construct some of them and then show that the wobble, discussed in detail in a recent paper by Kälberman, is one of such solutions. We concentrate our attention on a kink and its bound states with one or two breathers. We study their stability and some aspects of their scattering properties on potential wells and on fixed boundary conditions.