[PDF] Top 20 A Generalized Tanh Function Type Method and the(G'/G) Expansion Method for Solving

... rational function method can be found in Ma and Lee’s paper ...rational function method, a new approach called the generalized tanh-function me- thod is ...the ... 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 Burgers-Huxley equation ... See full document

... (G'/G)-expansion method is applied on these nonlinear differential ...(G'/G)-expansion method is advanced and easy tool for finding solution of NLEEs in ... See full document

... ( G G ′ ) -expansion ...this method for finding traveling wave solutions of the KP-BBM equation, the (3 + 1)-dimensional potential-YTSF equation, the (2 + 1)-dimen- sional Zakharov-Kuznetsov ... See full document

... G G ′ and ( G G ′ ) j σ   1 ( + G G ′ ) 2 µ   , and setting them to zero, we obtain a over-determined system that consists of twenty-five algebraic equations (we omitted ... See full document

... /G)-expansion method. We have used this method to the (3+1)-dimensional Jimbo-Miwa ...this method is productive, ef- fective and well-built mathematical tool for solving non- ... See full document

...   , ( j = 0, 1, 2,  , M ) . Equating the coefficients of like power of these polynomials to zero, we obtain an over-determine set of algebraic equations (for simplicity we leave out to dis- play the equations) for α 0 ... See full document

... the method has been implemented to find the traveling wave solutions to the positive Gardner-KP ...this method for finding exact and traveling wave solutions has been ...the method is straightforward ... See full document

... new generalized ( G ′ / G )-expansion method for seeking the exact solutions of NLEEs via the Benjamin-Ono equation and achieve exact solutions involving ...this method and the ... See full document

... G i and G′ ( ξ ) G i ( ξ ) ( i = 0 , ± 1 , ± 2 , ± 3 , ⋯ ). Vanishing each coefficient of the resulted polynomials to zero, yields a set of algebraic equations for α n , p , q , r , V and constant(s) ... See full document

...   , ( j = 0,1, 2,  , M ) . Equating the coefficients of like power of these poly- nomials to zero, we obtain an over-determine set of algebraic equations (for simplicity we leave out to display the equations) for α 0 ... See full document

... a generalized (G'/G )-expansion ...The generalized (G'/G )-expansion method was used to construct solitary wave and periodic wave solutions of nonlinear ... See full document

... of generalized ( G ′ / G ) -expansion ...this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational ...of generalized ( G ′ / ... See full document

... iteration method, Adomian decomposition method and homotopy perturbation method to consider the time-fractional STO equation and obtained an analytic and approximate solution for different types of ... See full document

... the generalized tanh function method, ( G′ /G)-expansion method and variable-separating method, plenty of new explicit exact solutions, including travelling ... See full document

... bilinear method [7], Backlund transformation [8], Painlevé expansion [9], sine-cosine method [10], homogeneous balance method [11], homotopy pertur- bation method [12-14], variational ... See full document

... Exp-function method [2, 3], sine-cosine method [4], tanh-coth [7], tanh method [6], auxiliary equation method [7], the first integral method [8], Improved Adomian ... See full document

... elliptic function form from the coupled KdV-mKdV equation are ...elliptic function m → 0 or 1 , the corresponding solitary wave solutions and trigonometric function solutions are also ... 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

... elliptic function method [1], inverse scattering method [2], Hirotas bilinear method [3], homo- geneous balance method [4], homotopy perturbation me- thod [5], Weierstrass ... See full document