Scattering of kinks of the sinh-deformed $$\varphi ^4$$φ4 model

@article{Bazeia2017ScatteringOK,
  title={Scattering of kinks of the sinh-deformed \$\$\varphi ^4\$\$$\phi$4 model},
  author={Dionisio Bazeia and Ekaterina Belendryasova and Vakhid A. Gani},
  journal={The European Physical Journal C},
  year={2017},
  volume={78},
  pages={1-14}
}
We consider the scattering of kinks of the sinh-deformed $$\varphi ^4$$φ4 model, which is obtained from the well-known $$\varphi ^4$$φ4 model by means of the deformation procedure. Depending on the initial velocity $$v_\mathrm {in}$$vin of the colliding kinks, different collision scenarios are realized. There is a critical value $$v_\mathrm {cr}$$vcr of the initial velocity, which separates the regime of reflection (at $$v_\mathrm {in}>v_\mathrm {cr}$$vin>vcr) and that of a complicated… 
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References

SHOWING 1-10 OF 106 REFERENCES

Stable branches of a solution for a fermion on domain wall

The case when a fermion occupies an excited nonzero frequency level in the field of domain wall is discussed. It is demonstrated that a solution exists for the coupling constant in the limited

Vacuum Polarization Energy of the $\mathbf{\phi^6}$ kink

We propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti-symmetric channels in one space

Kink excitation spectra in the (1+1)-dimensional φ8 model

A bstractWe study excitation spectra of BPS-saturated topological solutions — the kinks — of the φ8 scalar field model in (1 + 1) dimensions, for three different choices of the model parameters. We

Kink interactions in the (1+1)-dimensional $\phi^6$ model

We study kink scattering processes in the ( 1 + 1 ) -dimensional φ 6 model in the framework of the collective coordinate approximation. We find critical values of the initial velocities of the

Kink–Antikink Scattering in φ4 and ϕ6 Models

For kink–antikink scattering within the φ4 non-linear field theory in one space and one time dimension resonance type configurations emerge when the relative velocity between kink and antikink falls

Kink-antikink interactions in a modified sine-Gordon model

Intersoliton forces in weak-coupling quantum field theories

We offer a procedure for evaluating the forces exerted by solitons of weak-coupling field theories on one another. We illustrate the procedure for the kink and the antikink of the two-dimensional

Non-BPS domain wall configurations in a supersymmetric model

We study the time evolution of configurations in the form of two parallel domain walls moving towards each other in a supersymmetric field model. The configurations involved are not BPS-saturated. It

Kinklike structures in models of the Dirac-Born-Infeld type

...