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Optical solitons of the KdV equation with power-law nonlinearity

YUSUF PANDIR1,*

Affiliation

  1. Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey

Abstract

This paper obtains solitons and elliptic F-function, elliptic E-function, elliptic Π-function solutions to the KdV equation with power-law nonlinearity. We consider and derive some new results using the so-called as the extended trial equation method. By means of this method, bright and dark optical solitons as well as the corresponding singular periodic solutions are obtained. This approach can also be applied to other nonlinear differential equations..

Keywords

Extended trial equation method, Elliptic function solution, Soliton solution, KdV equation.

Citation

YUSUF PANDIR, Optical solitons of the KdV equation with power-law nonlinearity, Optoelectronics and Advanced Materials - Rapid Communications, 10, 9-10, September-October 2016, pp.658-670 (2016).

Submitted at: Jan. 1, 2016

Accepted at: Sept. 29, 2016