Stationary Solutions for Nonlinear Schrödinger Equations by Lie Group Analysis |
S.T. Raza Rizvi^{a}, I. Afzal^{a}, K. Ali^{a}, M. Younis^{b}
^{a}Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan ^{b}Department 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. |
DOI:10.12693/APhysPolA.136.187 topics: stationary solutions, optical solitons, Lie symmetry |