Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-20
J. Phys. A: Math. Theor. 44: 425402 (2011)
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 10 figures, revtex4 style, submitted to Journal of Physics A; minor errors fixed
Scientific paper
10.1088/1751-8113/44/42/425402
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.
Rubiera-Garcia Diego
Santos dos C.
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