# kinks - gradient flow and dynamics

@article{Manton1997kinksG, title={kinks - gradient flow and dynamics}, author={N. S. Manton and Houari Merabet}, journal={Nonlinearity}, year={1997}, volume={10}, pages={3-18} }

The symmetric dynamics of two kinks and one antikink in classical (1 + 1)-dimensional theory is investigated. Gradient flow is used to construct a collective coordinate model of the system. The relationship between the discrete vibrational mode of a single kink, and the process of kink - antikink pair production is explored.

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## 36 Citations

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- Physics
- 2012

We present a numerical study of the process of the kink-antikink collisions in the coupled one-dimensional two-component $\phi^4$ model. Our results reveal two different soliton solutions which…

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Abstract
A first order equation for a static ϕ
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We study boundary scattering in the phi^4 model on a half-line with a one-parameter family of Neumann-type boundary conditions. A rich variety of phenomena is observed, which extends…

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We review recent works on modeling of dynamics of kinks in 1\(+\)1 dimensional \(\phi ^4\) theory and other related models, like sine-Gordon model or \(\phi ^6\) theory. We discuss how the spectral…

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A bstractWe discuss similarity between oscillons and oscillational mode in perturbed ϕ4. For small depths of the perturbing potential it is difficult to distinguish between oscillons and the mode in…

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