Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation

@article{CarreteroGonzlez2021KinkantikinkSI,
  title={Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation},
  author={Ricardo Carretero-Gonz{\'a}lez and Luis A. Cisneros-Ake and Robert J. Decker and Georgios N. Koutsokostas and Dimitri J. Frantzeskakis and P G Kevrekidis and Daniel J. Ratliff},
  journal={Communications in Nonlinear Science and Numerical Simulation},
  year={2021}
}
The main focus of the present work is to study quasi-one-dimensional kink-antikink stripes embedded in the twodimensional sine-Gordon equation. Using variational techniques, we reduce the interaction dynamics between a kink and an antikink stripe on their respective time and space dependent widths and locations. The resulting reduced system of coupled equations is found to accurately describe the width and undulation dynamics of a single kink stripe as well as that of interacting ones. As an… 

References

SHOWING 1-10 OF 42 REFERENCES
Phys
  • Rev. E 98
  • 2018
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
TLDR
The ability of the 2D sG model within the finite domain computations to localize energy in long-lived, self-trapped breathing excitations is demonstrated.
Commun
  • Nonlinear Sci. Numer. Simulat. 97
  • 2021
Commun
  • Nonlinear Sci. Numer. Simulat. 94
  • 2021
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories
TLDR
This work studies collisions of coherent structures in higher-order field-theoretic models, finding that, when suitably initialized, these models still feature the multi-bounce resonance windows earlier found in models in which the kinks bear exponential tails.
‘A’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
A: Math
  • Theor. 52
  • 2019
Forces between kinks and antikinks with long-range tails
  • N. Manton
  • Physics
    Journal of Physics A: Mathematical and Theoretical
  • 2019
In a scalar field theory with a symmetric octic potential having a quartic minimum and two quadratic minima, kink solutions have long-range tails. We calculate the force between two kinks and between
Maraver (Eds.), A dynamical perspective on the φ4 model. Past, present and future
  • 2019
Commun
  • Nonlinear Sci. Numer. Simulat. 55
  • 2018
...
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2
3
4
5
...