111 citations · 261 across the 11 of their papers we have counts for
11 papers
Emergence of oscillons in kink-impurity interactions
Mariya Lizunova, Jasper Kager, Stan de Lange +1
The (1+1)-dimensional classical theory contains stable, topological excitations in the form of solitary waves or kinks, as well as stable but non-topological solutions, such…
Solitary wave propagation in media with step-like inhomogeneities
Mariya Lizunova, Oleksandr Gamayun
We consider the wave propagation in media with step-like inhomogeneities. We choose two different protocols: (I) a step-like spatial dependence of the coupling constant that physic…
An introduction to kinks in -theory
Mariya Lizunova, Jasper van Wezel
As a low-energy effective model emerging in disparate fields throughout all of physics, the ubiquitous -theory is one of the central models of modern theoretical physics. Its…
Kinks and realistic impurity models in -theory
Mariya A. Lizunova, Jasper Kager, Stan de Lange +1
The -theory is ubiquitous as a low-energy effective description of processes in all fields of physics ranging from cosmology and particle physics to biophysics and condensed m…
Visualizing topological transport
Mariya A. Lizunova, Samuel Kuypers, Bernet Meijer +2
We present a mathematically simple procedure for explaining and visualizing the dynamics of quantized transport in topological insulators. The procedure serves to illustrate and cl…
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…