New solitary wave solutions of the time-fractional Cahn-Allen equation via the improved ( $\frac{G'}{G}$ G G )-expansion method

作者: Fiza Batool , Ghazala Akram

DOI: 10.1140/EPJP/I2018-12025-Y

关键词:

摘要: An improved $(\frac{G'}{G})$ -expansion method is proposed for extracting more general solitary wave solutions of the nonlinear fractional Cahn-Allen equation. The temporal derivative taken in sense Jumarie’s derivative. results this article are generalized and extended version previously reported solutions.

参考文章(32)
Ozkan Güner, Ahmet Bekir, Adem C. Cevikel, A variety of exact solutions for the time fractional Cahn-Allen equation The European Physical Journal Plus. ,vol. 130, pp. 146- ,(2015) , 10.1140/EPJP/I2015-15146-9
Jiao Zhang, Fengli Jiang, Xiaoying Zhao, An improved (G'/G)-expansion method for solving nonlinear evolution equations International Journal of Computer Mathematics. ,vol. 87, pp. 1716- 1725 ,(2010) , 10.1080/00207160802450166
Filiz Taşcan, Ahmet Bekir, Travelling wave solutions of the Cahn–Allen equation by using first integral method Applied Mathematics and Computation. ,vol. 207, pp. 279- 282 ,(2009) , 10.1016/J.AMC.2008.10.031
Bulent Kilic, Mustafa Inc, The First Integral Method for the time fractional Kaup-Boussinesq System with time dependent coefficient Applied Mathematics and Computation. ,vol. 254, pp. 70- 74 ,(2015) , 10.1016/J.AMC.2014.12.094
H. Jafari, H. Tajadodi, D. Baleanu, Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations Journal of Computational and Nonlinear Dynamics. ,vol. 9, pp. 021019- ,(2014) , 10.1115/1.4025770
Mustafa Inc, Bülent Kılıç, Classification of traveling wave solutions for time-fractional fifth-order KdV-like equation Waves in Random and Complex Media. ,vol. 24, pp. 393- 403 ,(2014) , 10.1080/17455030.2014.927083
N. Taghizadeh, M. Mirzazadeh, A. Samiei Paghaleh, J. Vahidi, Exact solutions of nonlinear evolution equations by using the modified simple equation method Ain Shams Engineering Journal. ,vol. 3, pp. 321- 325 ,(2012) , 10.1016/J.ASEJ.2012.03.010