Singular and non-topological soliton solutions for nonlinear fractional differential equations

doi:10.1088/1674-1056/24/10/100201

Abstract

In this article, the fractional derivatives are described in the modified Riemann-Liouville sense. We propose a new approach, namely an ansatz method, for solving fractional differential equations (FDEs) based on a fractional complex transform and apply it to solve nonlinear space-time fractional equations. As a result, the non-topological as well as the singular soliton solutions are obtained. This method can be suitable and more powerful for solving other kinds of nonlinear fractional FDEs arising in mathematical physics.

Keywords: solitons ansatz method the space-time fractional Boussinesq equation the space-time fractional (2+1)-dimensional breaking soliton equations

Received: 10 March 2015
Revised: 24 June 2015
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	05.45.Yv	(Solitons)

Corresponding Authors: Ozkan Guner
E-mail: ozkanguner@karatekin.edu.tr

Cite this article:

Ozkan Guner Singular and non-topological soliton solutions for nonlinear fractional differential equations 2015 Chin. Phys. B 24 100201

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Singular and non-topological soliton solutions for nonlinear fractional differential equations

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