Generalized sine-Gordon solitons

• Type: Article in International Scientific Journal
• Date: 2011

Authors

C. dos Santos (Author) FCUP; D. Rubiera-Garcia (Author) Other

Journal

Title: Journal of Physics A: Mathematical and Theoretical

Vol. 44 No. 425402

Initial page: 425402

ISSN: 1751-8113

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 10 Citations

ISI Web of Science

Scopus - 7 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-002-KFD

Abstract (EN): In this paper, we construct analytical self-dual soliton solutions in (1+1) dimensions for two families of models which can be seen as generalizations of the sine-Gordon system but where the kinetic term is non-canonical. For that purpose we use a projection method applied to the sine–Gordon soliton. We focus our attention on the wall and lump-like soliton solutions of these k-field models. These solutions and their potentials reduce to those of the Klein–Gordon kink and the standard lump for the case of a canonical kinetic term. As we increase the nonlinearity on the kinetic term the corresponding potentials get modified and the nature of the soliton may change, in particular, undergoing a topology modification. The procedure constructed here is shown to be a sort of generalization of the deformation method for a specific class of k-field models.

Language: English

Type (Professor's evaluation): Scientific