Gaussian soliton solutions to a variety of nonlinear logarithmic Schrödinger equation

Abdul-Majid Wazwaz and S. A. El-Tantawy

Journal of Electromagnetic Waves and Applications, 2016, vol. 30, issue 14, 1909-1917

Abstract: This work addresses a variety of Schrödinger equations with logarithmic nonlinearity, with and without an attenuation term. We show that the stationary and the time-dependent logarithmic models give Gaussian soliton solutions, or simply Gaussons, which are characterized by no soliton radiation, and propagate through dispersion-managed optical fibers. We examine the physical structures, especially the amplitude and width of the Gaussons which we will derive.

Date: 2016
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DOI: 10.1080/09205071.2016.1222312

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