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arXiv · 1106.4060

Generalized sine-Gordon solitons

C. dos Santos·D. Rubiera-Garcia
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Abstract

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 canonical kinetic term. As we increase the non-linearity 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.

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C. dos Santos, D. Rubiera-Garcia. 2011-06-20. Generalized sine-Gordon solitons. https://doi.org/10.1088/1751-8113/44/42/425402

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