Modulation of localized solutions for the Schrödinger equation with logarithm nonlinearity

Abstract

We investigate the presence of localized analytical solutions of the Schrödinger equation with logarithm nonlinearity. After including inhomogeneities in the linear and nonlinear coefficients, we use similarity transformation to convert the nonautonomous nonlinear equation into an autonomous one, which we solve analytically. In particular, we study stability of the analytical solutions numerically.

4 pages, 6 figures

References in corpus (2)

• Localized nonlinear waves in systems with time- and space-modulated nonlinearities
• Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time

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