Exact Solutions of Cylindrically (Spherically) Nonlinear Schrdinger Equation

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Exact Solutions of Cylindrically (Spherically) Nonlinear Schrdinger Equation

Journal Title: 河南科技大学学报（自然科学版） - Year 2018, Vol 39, Issue 2

Abstract

The cylindrically ( spherically) nonlinear Schrdinger equation ( CS-NLS) was studied. A similarity transformation between the CS-NLS and NLS with variable coefficients was obtained. The solutions of the NLS with variable coefficients were obtained by using G'/G-expansion method. According to the similarity transformation, by using the solutions of NLS with variable coefficients and solutions of NLS with constant coefficients, the exact solutions of the CS-NLS were obtained.Specially the exact solutions of the CS-NLS withconstant disperson coefficient and nonlinear coefficient are obtained.

Authors and Affiliations

Jingmei LI, Jinliang ZHANG, Fei WANG

Keywords

cylindrically (spherically) nonlinear Schrdinger equation; nonlinear Schrdinger equation with variable coefficients; similarity transformation; G'/G-expansion method; exact solution;

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EP ID EP464688
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