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arXiv · 1603.05206

Fractal scattering of Gaussian solitons in directional couplers with logarithmic nonlinearities

Rafael M. P. Teixeira·Wesley B. Cardoso
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Abstract

In this paper we study the interaction of Gaussian solitons in a dispersive and nonlinear media with log-law nonlinearity. The model is described by the coupled logarithmic nonlinear Schrödinger equations, which is a nonintegrable system that allows the observation of a very rich scenario in the collision patterns. By employing a variational approach and direct numerical simulations, we observe a fractal-scattering phenomenon from the exit velocities of each soliton as a function of the input velocities. Furthermore, we introduce a linearization model to identify the position of the reflection/transmission window that emerges within the chaotic region. This enable us the possibility of controlling the scattering of solitons as well as the lifetime of bound states.

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Rafael M. P. Teixeira, Wesley B. Cardoso. 2016-03-16. Fractal scattering of Gaussian solitons in directional couplers with logarithmic nonlinearities. https://doi.org/10.1016/j.physleta.2016.06.041

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