Kink Collision in the Noncanonical ${\phi }^6$ Model: A Model with Localized Inner Structures

Abstract

We study collisions of kinks in the one-space and one-time dimensional noncanonical nonintegrable scalar ${\varphi }^6$ model. We examine the energy density of the kink, and we find that, as a function of the parameters that control the curvature of the potential, a localized inner structure of the energy density emerges. We also examine the kink excitation spectrum and the dynamics of the kink collisions for a wide range of initial velocities. We find that apart from the resonance windows, the production of two to three oscillons occurs for some values of the principal parameters of the model.

9pages, 19figures

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