111 citations · 261 across the 11 of their papers we have counts for
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Search for long-living topological solutions of nonlinear field theory
Alexander E. Kudryavtsev, Mariya A. Lizunova
We look for long-living topological solutions of classical nonlinear dimensional field theory. To that effect we use the well-known cut-and-match method. In this fra…
Scalar triplet on a domain wall
Vakhid A. Gani, Mariya A. Lizunova, Roman V. Radomskiy
We consider a model with a real scalar field with polynomial self-interaction of the fourth degree and a coupled scalar triplet. We demonstrate that there is an exact analytic solu…
Excitation spectra of solitary waves in scalar field models with polynomial self-interaction
Vakhid A. Gani, Vadim Lensky, Mariya A. Lizunova +1
We study excitations of solitary waves -- the kinks -- in scalar models with degree eight polynomial self-interaction in (1+1) dimensions. We perform numerical studies of scatterin…
Scalar triplet on a domain wall: an exact solution
Vakhid A. Gani, Mariya A. Lizunova, Roman V. Radomskiy
We study a model with a real scalar Higgs field and a scalar triplet field that allows existence of a topological defect -- a domain wall. The wall breaks the global symmetr…
Kink excitation spectra in the (1+1)-dimensional model
Vakhid A. Gani, Vadim Lensky, Mariya A. Lizunova
We study excitation spectra of BPS-saturated topological solutions -- the kinks -- of the scalar field model in dimensions, for three different choices of the model p…
Kink interactions in the (1+1)-dimensional model
Vakhid A. Gani, Alexander E. Kudryavtsev, Mariya A. Lizunova
We study kink scattering processes in the (1+1)-dimensional model in the framework of the collective coordinate approximation. We find critical values of the initial velociti…