New Gaussian solitary wave solutions in nanofibers

Abstract

The article studies the dynamics of Gaussian solitary waves in nano optical fibers which are described by perturbed and improved nonlinear Schrödinger equations which have logarithmic nonlinearities with and without attenuation terms. As a result, the Gaussian solitary waves have been extracted for the logarithmic perturbed nonlinear Schrödinger equation and the logarithmic perturbed improved nonlinear Schrödinger equation. Moreover, new logarithmic improved nonlinear Schrödinger equations are presented. With the Gaussian function and symbolic computation, we obtain the Gaussian solitary waves for such equations.