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Abstract

In this paper, we consider a new direct approach namely the tan(φ(ξ)/2)-Expansion Method to obtain analytical solutions of Burgers and foam drainage equations. With this method, further solutions can be obtained comparing with other techniques and approaches. We use of Mathematica for obtaining these solutions.

Taibah University for Science 11 2 258 263 2017 [12] Jalil Manafian and Mohammadreza Foroutan. Application of tan( ϕ ( ξ )/2)-expansion method for the time-fractional Kuramoto–Sivashinsky equation. Optical and Quantum Electronics , 49(8):272, 2017. Manafian Jalil Foroutan Mohammadreza Application of tan( ϕ ( ξ )/2)-expansion method for the time-fractional Kuramoto–Sivashinsky equation Optical and Quantum Electronics 49 8 272 2017 [13] Hadi Rezazadeh, Jalil Manafian, Farid Samsami Khodadad, and Fakhroddin Nazari. Traveling wave solutions for density

obtain exact solutions for many nonlinear evolution equations such that the first integral method [ 1 , 2 , 3 , 4 , 5 ], the simplest equation method [ 6 , 7 ], the trial solution method [ 8 , 9 , 10 ], the homogeneous balance method [ 11 ], the generalized projective Riccati equation method [ 12 ], the improved tan(φ(ξ)/2)-expansion method [ 13 ], the Exp-function method [ 14 , 15 ], the Sine-Gordon expansion method [ 16 ], the new extended direct algebraic method [ 17 , 18 ], the Jacobi elliptic function expansion method [ 19 , 20 , 21 , 22 ], the (G