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- M. F. El-Sabbagh, A. T. Ali, S. El-Ganaini
- 2008

A Bäcklund transformation and a recurrence formula are given for the system of (2+1)-dimensional Burgers equations. Also, new various sequences of exact solutions for the system are obtained by using combinations of the Bäcklund transformations and the generalized tanh function expansion method.

- M. F. El-Sabbagh, S. I. El-Ganaini
- 2012

In this paper, Using symbolic computations by Mathematica 8 and distinct methods namely , the He , s semi – inverse method and the first integral method , new exact traveling wave solutions for the generalized Zakharov system are constructed . The traveling wave solutions are soliton solutions, periodic solutions, and rational solutions. The first integral… (More)

and Applied Analysis 3 Case 1. Suppose that m = 1, by equating the coefficients of Y i (i = 2, 1, 0) on both sides of (11), we have a 1 (X) = g (X) a 1 (X) , (12a) a 0 (X) = h (X) a 1 (X) + g (X) a 0 (X) , (12b) a 1 (X)(( 2 c − 1 )X 3 + ( w 2 − 2n − (a + cw) 2

- M. F. El-Sabbagh, S. I. El-Ganaini
- 2012

In this paper , the first integral method is used for constructing traveling wave solutions of some important nonlinear systems namely dispersive long wave system and Maccari system. As results, various types of traveling wave solutions are formally obtained for the these systems. The power of this manageable method is confirmed by applying it to these… (More)

and Applied Analysis 3 P(X, Y) = ∑ m i=0 a i (X)Y i is an irreducible polynomial in the complex domain C[X, Y] such that P [X (ξ) , Y (ξ)] = m ∑ i=0 a i (X (ξ)) Y i (ξ) = 0, (13) where a i (X), (i = 0, 1, 2, . . . , m) are polynomials of X and a m (X) ̸ = 0. Equation (13) is called the first integral to (12a) and (12b). Due to the Division Theorem, there… (More)

- Mohammed O. Al-Amr, Shoukry El-Ganaini
- Computers & Mathematics with Applications
- 2017

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