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arXiv · 2103.08596

Kink-like solution for the Lorentz0violating \phi^4 theory equation of motion with dissipation

M. A. Knyazev
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Abstract

A (1+1)-dimension equation of motion for \phi^4 theory is considered for the case of simultaneou taking into account 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. The modofied Hirota method for a solving the nonlinear partial differential equations is applied. A modification of the method led to the special conditions on parameters of the model and solution.

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M. A. Knyazev. 2021-03-15. Kink-like solution for the Lorentz0violating \phi^4 theory equation of motion with dissipation. https://arxiv.org/abs/2103.08596

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