Exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity by using the first integral method

Hossein Moosaei; Mohammad Mirzazadeh; Ahmet Yildirim

doi:10.15388/NA.16.3.14096

Articles

Hossein Moosaei

Islamic Azad University, Iran

Mohammad Mirzazadeh

University of Guilan, Iran

Ahmet Yildirim

Ege University, Turkey

Published 2011-07-25

https://doi.org/10.15388/NA.16.3.14096

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Keywords

first integral method
nonlinear PDE
NLSE with Kerr law nonlinearity

How to Cite

Moosaei, H., Mirzazadeh, M. and Yildirim, A. (2011) “Exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity by using the first integral method”, Nonlinear Analysis: Modelling and Control, 16(3), pp. 332–339. doi:10.15388/NA.16.3.14096.

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Abstract

The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. In this paper, the first integral method is used to construct exact solutions of the perturbed nonlinear Schrodinger’s equation (NLSE) with Kerr law nonlinearity. It is shown that the proposed method is effective and general.

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