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

@article{Bazeia2017ScatteringOK,
title={Scattering of kinks of the sinh-deformed \$\$\varphi ^4\$\$$\phi4 model}, author={Dionisio Bazeia and Ekaterina Belendryasova and Vakhid A. Gani}, journal={The European Physical Journal C}, year={2017}, volume={78}, pages={1-14} } • Published 13 October 2017 • Materials Science • The European Physical Journal C 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… 62 Citations ### Scattering of the double sine-Gordon kinks • Materials Science • 2017 We study the scattering of kink and antikink of the double sine-Gordon model. There is a critical value of the initial velocity$$v_{{\mathrm {cr}}}$$vcr of the colliding kinks, which separates ### Exotic final states in the$$\varphi ^8$$multi-kink collisions • Physics, Mathematics The European Physical Journal C • 2021 We study final states in the scattering of kinks and antikinks of the$$\varphi ^8$$φ 8 field-theoretic model. We use the initial conditions in the form of two, three or four static or moving ### Long-range interactions of kinks • Mathematics Physical Review D • 2019 We present a computational analysis of the long-range interactions of solitary waves in higher-order field theories. Our vehicle of choice is the$\varphi^8$field theory, although we explore similar ### Explicit kinks in higher-order field theories • Mathematics • 2020 We study a field-theoretic model with an eighth-degree polynomial potential---the${\ensuremath{\varphi}}^{8}$model. We show that for some certain ratios of constants of the potential, the problem ### Semi-compactness and multiple oscillating pulses in kink scattering • Mathematics • 2020 In this work we consider models of asymmetric kinks, where the behavior of the solution in one side is different from the other side. Also, the models depend of an integer$n$and, with the increase ## References SHOWING 1-10 OF 106 REFERENCES ### Stable branches of a solution for a fermion on domain wall • Physics • 2011 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 • Physics • 2015 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

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