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Long-range interacting solitons: pattern formation and nonextensive thermostatistics

L. E. Guerrero·J. A. Gonzalez
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Abstract

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.

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L. E. Guerrero, J. A. Gonzalez. 1999-05-27. Long-range interacting solitons: pattern formation and nonextensive thermostatistics. https://doi.org/10.1016/s0378-4371(98)00165-4

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