On the exact solutions of the fractional (2+1)- dimensional Davey - Stewartson equation system
DOI:
https://doi.org/10.11121/ijocta.01.2017.00485Abstract
In this work, we construct the exact traveling wave solutions of the fractional (2+1)-dimensional Davey-Stewartson equation system (D-S) that is complex equation system using the Modified Trial Equation Method (MTEM). We obtained trigonometric function solutions by this method that are new in literature.
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Kocak, Z. F., Bulut, H., and Yel,G., (2014). The solution of fractional wave equation by using modified trial equation method and homotopy analysis method. AIP Conference Proceedings, Vol. 1637, 504-512.
Bulut, H., Baskonus, H. M., and Pandir, Y., (2013). The modified trial equation method for fractional wave equation and time fractional generalized Burgers equation. Abstract and Applied Analysis, vol. pp. 1-8.
Bulut, H., and Pandir, Y., (2013). Modified trial equation method to the non-linear fractional Sharma–Tasso–Olever equation. International Journal of Modeling and Optimization, 3(4), 353-357.
Pandir, Y., Gurefe, Y. and Misirli, E., (2013). The Extended Trial Equation Method for Some Time Fractional Differential Equations. Discrete Dynamics in Nature and Society, ID 491359.
Bekir, A., Guner, O. and Cevikel, A., (2016). The Exp-function Method for Some Time-fractional Differential Equations. Journal of Automatica Sinica,10.1109/2016/7510172.
Wazwaz, A.M., (2005). The tanh method and the sine–cosine method for solving the KP-MEW equation. International Journal of Computer Mathematics, Vol. 82, No. 2,
Atangana, A., (2016). On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation. Applied Mathematics and Computation, 273, 948-956. 2.1.
Atangana, A., Baleanu, D., (2016). New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model. Thermal Science, 1,763–769. 2.1,2.2, 2.4.
Atangana, A., Koca, I., (2016). Chaos in a simple nonlinear system with Atangana- Baleanu derivatives with fractional order. Chaos, Solitons and Fractals, 1, 447–454. 2.3.
Davey,A., Stewartson,K., (1974). On three-dimensional packets of surfaces waves. Proceedings of the Royal Society of London, Ser. A, 338, pp. 101–110.
Jafari, H., Kadem, A., Balenu, D. and Yılmaz, T., (2012). Solutions of the fractional Davey-Stewartson equtions with variational iteration method. Romanian Reports in Physics, Vol. 64, No. 2, 337–346.
Zedan, H. A, Barakati, W. and Hamad, N., (2013). The application of the homotopy analysis method and the homotopy perturbation method to the DaveyStewartson equations and comparison between them and exact solutions. Journal Applied Mathematics,ID 326473.
Jafari, H., Sayevand, K., Khan, Y. and Nazari, M., (2013). Davey-Stewartson Equation with Fractional Coordinate Derivatives. The Scientific World Journal, ID 941645.
Shehata, A. R, Kamal, E. M and Kareem, H. A., (2015). Solutions of the space-Time fractional of some nonlinear systems of partial differential equations using modified Kudryashov method. International Journal of Pure and Applied Mathematics, 101(4),477-487.
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