[PDF] Top 20 General Solution of Two Generalized Form of Burgers Equation by Using the (G'/G) Expansion Method

... -expansion method is quite efficient and practically well suited for use in find- ing exact solutions for the generalized form of Burgers- Korteweg-de Vries (Burgers-KdV) and ... See full document

... Nonlinear wave phenomena appears in various scientific and engineering fields such as fluid mechanics, plasma physics, optical fibers, biophysics, geochemistry, electricity, propagation of shallow water waves, ... See full document

... (PP-KS) equation is considered in this paper. By using the generalized tanh function method and ( G′ /G)-expansion method, plenty of new travelling solutions are ... See full document

... ansatz method [1, 2], the Adomian decomposition method [3], the Darboux transformation method [4], the Backlund transformation method [5], the inverse scattering transform [6], the wave of ... See full document

... transformation method [1,2], the Back- lund transformation method [3,4], the truncated Painleve expansion method [5,6], the inverse scattering method [7], the weierstrass elliptic ... See full document

...  G G   -expansion method is that one treats nonlinear pro by essentially linear ...The method is based on the explicit linearization of NLEEs for traveling waves with a certain ... See full document

... ( G′/G )-expansion method to exhibit exact solutions for NLEEs in mathematical physics via the (1 + 1)-dimensional compound KdVB equation ...This equation can be thought of as a ... See full document

... paper using the idea of the transformed rational function method, a generalized tanh-function type me- thod is introduced to solve exact traveling solutions of ... G G   ... See full document

... bilinear method[2], sine-cosine method[3], homotopy perturbation method[4], homotopy analysis method[5, 6], variational iteration method[7, 8, 9], tanh-function method[10], ... See full document

... improved, Generalized and improve G / ′ G − expansion method [12-24] with different auxiliary ...Klein-Gordon equation by using G / ′ G − expansion ... See full document

... Nonlinear partial differential equations have shown a variety of applications in almost every field, such as in electromagnetic, acoustics, electrochemistry, cosmology, biological and material science [1-4]. Fractional ... See full document

... proposed method is reliable and effective and gives more solutions. The method can also be efficiently used to construct new and more exact solutions for some other generalized nonlinear wave ... See full document

... the general solution of Equation (6) is well known to us, inserting the values of α i ( i = 0,1, 2,  , N ) , β i ( i = 1, 2,  , N ) , d and V into Equation (4), we obtain more general ... See full document

... balance method, the article obtains solutions of the Burgers-Huxley equation and two kinds of transformation type by the G'/G expansion method, making the ... See full document

... -expansion method to solve the generalized FitzHugh-Nagumo ...this method is reliable, simple and gives many new solutions, its also standard and computerizable method which enable us ... See full document

... ( G G '/ ) -expansion method and the basic ( G G '/ ) -expansion method where G satisfies the second-order linear ordinary differential ...( G ... See full document

... ZK-BBM equation to obtain exact solutions via the improved ( G ′ / G ) -expansion method and achieved only six solutions ...by using the generalized and improved ( ... See full document

... F-expansion method [1, 25, 39], tanh - sech method [19, 20, 30], Jacobi elliptic function method [12, 13, 18, 41], the collocation method [27, 28], new generalized (G ′ ... See full document

... Abstract—A generalized (G 0 /G)-expansion method is used to search for the exact traveling wave solutions of the coupled KdV-mKdV ...the method is straightforward, concise, ... See full document

... iteration method, which are based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the ...the equation was obtained using a polynomial ... See full document