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Singular and non-topological soliton solutions for nonlinear fractional differential equations |
Ozkan Guner |
Cankiri Karatekin University, Faculty of Economics and Administrative Sciences, Department of International Trade, Cankiri 18100, Turkey |
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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.
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Received: 10 March 2015
Revised: 24 June 2015
Accepted manuscript online:
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PACS:
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02.30.Jr
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(Partial differential equations)
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05.45.Yv
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(Solitons)
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Corresponding Authors:
Ozkan Guner
E-mail: ozkanguner@karatekin.edu.tr
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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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