Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1999-05-27
Physica A 257, 390 (1998)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
The nonlinear Klein-Gordon equation with a different potential that satisfies the degeneracy properties discussed in this paper possesses solitonic solutions that interact with long-range forces. We generalize the Ginzburg-Landau equation in such a way that the topological defects supported by this equation present long-range interaction both in D = 1 and D > 1. Finally, we construct a system of two equations with two complex order parameters in such a way that the interaction forces between the topological defects decay so slowly that the system enters the nonextensivity regime.
Gonzalez Jose A.
Guerrero L. E.
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