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19972025
most citedKink interactions in the (1+1)-dimensional model

111 citations · 1.4k across the 46 of their papers we have counts for

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46 papers

hep-th2025★ 4 cited

Long-range interaction of kinks in higher-order polynomial models

Ekaterina Belendryasova, Petr A. Blinov, Tatiana V. Gani +2

We obtain asymptotic estimates of the interaction forces between kink and antikink in a family of field-theoretic models with two vacua in (1+1)-dimensional space-time. In our stud…

nlin.PS2024★ 5 cited

Connections between kinks with different asymptotics

Vakhid A. Gani, Aliakbar Moradi Marjaneh

In this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kin…

nlin.PS2023★ 1 cited

Kink dynamics in a high-order field model

Aliakbar Moradi Marjaneh, Vakhid A. Gani, Azam Ghaani +3

We study various properties of topological solitons (kinks) of a field-theoretic model with a polynomial potential of the twelfth degree. This model is remarkable in that it has se…

hep-th2022★ 22 cited

Kinks in higher-order polynomial models

Petr A. Blinov, Tatiana V. Gani, Alexander A. Malnev +2

We consider a family of field-theoretic models with a real scalar field in (1+1)-dimensional space-time. The field dynamics in each model is determined by a polynomial potential wi…

hep-th2022

Remarks on sine-Gordon kink--fermion system: localized modes and scattering

Vakhid A. Gani, Anastasia Gorina, Ilya Perapechka +1

We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We sh…

hep-th2021★ 21 cited

Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions

Ekaterina Belendryasova, Vakhid A. Gani, Konstantin G. Zloshchastiev

We consider the (1+1)-dimensional Lorentz-symmetric field-theoretic model with logarithmic potential having a Mexican-hat form with two local minima similar to that of the quartic…