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A (1+1)-dimension equation of motion for \phi^4 theory is considered for thecase of simultaneou taking into account the processes of dissipation andviolation the Lorentz-invariance. A topological non-trivial solution ofone-kink type for this equation is constructed in an analytical form. Themodofied Hirota method for a solving the nonlinear partial differentialequations is applied. A modification of the method led to the specialconditions on parameters of the model and solution.

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