Stationary solution of the nonlinear Schrödinger's equation with log law nonlinearity by Lie symmetry analysis

Anjan Biswas Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA; Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South AfricaCorrespondence[email protected]

Chaudry Masood Khalique Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa

Abstract

In this paper, the nonlinear Schrödinger equation is studied in the presence of log law nonlinearity. The technique of Lie group analysis is used to carry out the integration of this equation with spatially dependent damping. The results will turn out in terms of Gaussons.

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Stationary solution of the nonlinear Schrödinger's equation with log law nonlinearity by Lie symmetry analysis

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Stationary solution of the nonlinear Schrödinger's equation with log law nonlinearity by Lie symmetry analysis

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