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6. New optical solitary waves for unstable Schrödinger equation in nonlinear medium.

Author

QIN ZHOU, REZAZADEH, HADI, KORKMAZ, ALPER, ESLAMI, MOSTAFA, MIRZAZADEH, MOHAMMAD, and REZAZADEH, MOHAMMADREZA

Subjects
NONLINEAR Schrodinger equation, NONLINEAR differential equations, TRAVELING waves (Physics), PARTIAL differential equations, SCHRODINGER equation, NONLINEAR optics
Abstract

In this paper and for the first time, we describe and introduce a new extended direct algebraic method which is a new method for solving nonlinear partial differential equations arising in nonlinear optics and nonlinear science. By applying this method, we have constructed new solitary wave solutions for the unstable Schrödinger equation. A large family of traveling wave type exact solutions covering exponential, generalized trigonometric, rational and generalized hyperbolic functions to this equation is determined. The solutions are expressed in explicit forms. [ABSTRACT FROM AUTHOR]

Published
2019
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