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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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Topologically non-trivial solution in a dissipative φ4 model with Lorentz-invariance violation

https://doi.org/10.29235/1561-2430-2021-57-3-347-352

Abstract

In this paper a (1+1)-dimension equation of motion for φ4-theory is considered for the case of simultaneously taking into a account of the processes of dissipation and violation the Lorentz-invariance. A topological non-trivial solution of one-kink type for this equation is constructed in an analytical form. To this end, the modified direct Hirota method for solving the nonlinear partial derivatives equations was used. A modification of the method lead to special conditions on the parameters of the model and the solution.

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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)