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.
About the Author
M. A. Knyazev
Belarusian National Technical University
Belarus
Belarus
Michael A. Knyazev – Dr. Sc. (Physics and Mathematics), Head of the Department of Engineering Mathematics
65, Nezavisimosti Ave., 220013, Minsk
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