Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Analytical Approach for the Space-time Nonlinear Partial Differential Fractional Equation
-
Ahmet Bekir
und
Özkan Güner
Veröffentlicht/Copyright:
15. Oktober 2014
Abstract
In this paper, the fractional derivatives in the sense of modified Riemann–Liouville derivative and the functional variable method, exp-function method and 
-expansion method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear space-time fractional (2 + 1)-dimensional breaking soliton equations. These methods are also applied to derive a variety of travelling wave solutions with distinct physical structures for this nonlinear fractional equation. As a result, some new exact solutions for them are obtained. The three methods demonstrate power, reliability and efficiency.
Keywords: the functional variable method; exp-function method; -expansion method; space-time fractional (2 + 1)-dimensional breaking soliton equations
Received: 2013-12-30
Accepted: 2014-9-17
Published Online: 2014-10-15
Published in Print: 2014-12-1
©2014 by Walter de Gruyter Berlin/Munich/Boston
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Schlagwörter für diesen Artikel
the functional variable method;
exp-function method;
-expansion method;
space-time fractional (2 + 1)-dimensional breaking soliton equations
