Corpus ID: 235458137

Resonance structures in kink-antikink collisions in a deformed sine-Gordon model

@inproceedings{Dorey2021ResonanceSI,
  title={Resonance structures in kink-antikink collisions in a deformed sine-Gordon model},
  author={P. Dorey and A. Gorina and I. Perapechka and T. Roma'nczukiewicz and Y. Shnir},
  year={2021}
}
Patrick Dorey,a Anastasia Gorina,b Ilya Perapechka,b Tomasz Romańczukiewiczc and Yakov Shnird Department of Mathematical Sciences, Durham University, UK Department of Theoretical Physics and Astrophysics, Belarusian State University, Minsk 220004, Belarus Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, Kraków, Poland BLTP, JINR, Dubna 141980, Moscow Region, Russia E-mail: p.e.dorey@durham.ac.uk, nastya.gorina.2931@gmail.com, jonahex111@outlook.com, tomasz… Expand
Wobbling double sine-Gordon kinks
We study the collision of a kink and an antikink with the excited vibrational mode in the double sine-Gordon model. The vibrational energy of the wobbling kinks can turn into translational energyExpand

References

SHOWING 1-10 OF 37 REFERENCES
Inelastic interactions of solitons in nearly integrable systems. I
Inelastic interactions of kinks and breathers in the sine-Gordon equation with different perturbations are considered. In the presence of the dissipative perturbation the break-up of a breather intoExpand
Resonance structure in kink-antikink interactions in φ4 theory
Abstract We present new numerical and theoretical results concerning kink-antikink collisions in the classical (nonintegrable) φ 4 field model in one-dimensional space. Earlier numerical studies ofExpand
Kink-antikink interactions in a modified sine-Gordon model
We study numerically the interactions of a kink (K) and an antikink (K) in a parametrically modified sine-Gordon model with potential V(φ) = (1 − r)2(1 − cosφ)/(1 + r2 + 2rcosφ). As the parameter rExpand
Kink-antikink collisions in the φ⁶ model.
TLDR
Although the single-kink solutions for this model do not possess an internal vibrational mode, simulations reveal a resonant scattering structure, thereby providing a counterexample to the standard belief that the existence of such a mode is a necessary condition for multibounce resonances in general kink-antikink collisions. Expand
Kink-Antikink Collisions in the φ4 Equation: The n-Bounce Resonance and the Separatrix Map
TLDR
A detailed mathematical explanation of a phenomenon known as the two-bounce resonance observed in collisions between kink and antikink traveling waves of the $\phi^4$ equations of mathematical physics, including the origin of several mathematical assumptions needed by previous researchers are provided. Expand
Dynamics of classical solitons (in non-integrable systems)
Abstract A survey of the properties of soliton type solutions to non-linear wave equations appearing in various fields of physics is given. For the most part the description deals with non-integrableExpand
Topological and Non-Topological Solitons in Scalar Field Theories
Solitons emerge in various nonlinear systems – from nonlinear optics and condensed matter to nuclear physics, cosmology, and supersymmetric theories – as stable, localized configurations behaving inExpand
False vacuum decay in kink scattering
A bstractIn this work we consider kink-antikink and antikink-kink collisions in a modified ϕ4 model with a false vacuum characterized by a dimensionless parameter ϵ. The usual ϕ4 model is recoveredExpand
Collision of two kinks with inner structure
In this work, we study kink collisions in a scalar field model with scalar-kinetic coupling. This model supports kink/antikink solutions with inner structure in the energy density. The collision ofExpand
Kink dynamics in a parametric ϕ6 system: a model with controllably many internal modes
A bstractWe explore a variant of the ϕ6 model originally proposed in Phys. Rev.D 12 (1975) 1606 as a prototypical, so-called, “bag” model in which domain walls play the role of quarks within hadrons.Expand
...
1
2
3
4
...