International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Article in Press

Solutions of the space-time fractional of some nonlinear systems of partial differential equations by using modified extended direct algebraic method

A. R. Shehata and H. A. Kareem

In this work, we handle the space – time fractional of classical Drinfeld's Sokolov – Wilson system, the fractional (2+1) – dimensional Davey–Stewartson system and the fractional generalized Hirota- Satsuma coupled KdV systemto solve analytically. Firstly, we use fractional traveling wave transformations to convert fractional nonlinear partial differential equations to nonlinear ordinary differential equations. Next, the modified extended direct algebraic method is applied to find exact solutions of these nonlinear systems.

Keywords: The space –time fractional of classical Drinfeld's Sokolov–Wilson system, space – time fractional (2+1) –dimensional Davey–Stewartson system and the space–time fractional generalized Hirota–Satsuma coupled KdV system, the modified extended direct algebraic method.