Stationary Solutions for Nonlinear Schrödinger Equations by Lie Group Analysis
S.T. Raza Rizvia, I. Afzala, K. Alia, M. Younisb
aDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
bDepartment of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Received: January 17, 2019; revised version May 17, 2019; in final form May 19, 2019
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In this paper we obtain the stationary solutions of various nonlinear Schrödinger equations. We use Lie symmetry method to find the stationary solutions of the Gerdjikov-Ivanov equation, cubic-quintic and paraxial nonlinear Schrödinger equations.

topics: stationary solutions, optical solitons, Lie symmetry