[PDF] Top 20 Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

... of new exact traveling wave solutions with several free ...The exact solutions have its great importance to expose the inner mechanism of the complex physical ...physical ... See full document

...  G G   -expansion method has been extended to solve the nonlinear partial differential equation of frac- tional order, in the sense of modified ... See full document

... and G′ ( ξ ) G i ( ξ ) ( i = 0 , ± 1 , ± 2 , ± 3 , ⋯ ...(4), new and more general exact traveling wave solutions of the nonlinear partial differential ... See full document

... Calculating exact and numerical solutions, in particular, traveling wave solutions, of nonlinear equations in mathematical physics plays an important role in nonlinear ...obtaining ... See full document

... many exact solutions are obtained which include the hyperbolic functions, trigonometric functions and rational ...proposed method is reliable and effective and gives more ...The method can ... See full document

... Some new exact traveling wave solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation and the Burgers equation are constructed in this article by applying the new ... See full document

... of nonlinear partial differential equations in modelling physical phenomena has become an important ...wave solutions plays an important role in nonlinear ...bilinear method[2], ... See full document

... of differential equations, integral equations and matrix equations include various aspects, such as the existence and uniqueness of solutions [1,2], seeking for exact solutions [3,4], ... See full document

... proximation method [6] and generalized differential transform method [7] [8] have been used to find the numer- ical solutions for fractional order differential ...( G ... See full document

... of nonlinear physical ...to find exact solutions of nonlinear equations still have drawn a lot of interest by diverse group of ...obtaining exact solutions of ...balance ... See full document

... of differential equations which are linear or nonlinear, homogeneous or inhomoge- ...all differential equations relating physical phenomena are ...of solutions of li- near differential ... See full document

... to nonlinear phenomena. Nonlinear processes are one of the biggest challenges and not easy to control be- cause the nonlinear characteristic of the system abruptly changes due to some small changes ... See full document

... a new extended (G ′ /G)-expansion method to construct exact traveling wave solutions for nonlinear evolution ...our method, we imple- ment it to the ... See full document

... ( G G '/ ) -expansion method has been implemented to generate travelling wave solutions, where G ( ) η satisfies the second order nonlinear ordinary differential ... See full document

... The exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of complex physical ...wave solutions of the ... See full document

... -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

... simple equation method has been applied to ob- tain generalized solutions of Burgers, Huxley equations and combined forms of these ...The new exact solutions of these equations ... See full document

... Investigating exact solutions of nonlinear evolution equations plays an important role in nonlinear ...sech solutions and kink-shaped tanh solutions. The effort to find ... See full document

... F-expansion method to find the exact traveling wave solutions of two-component nonlinear partial differential equations (NLPDEs) is ...this method to ... See full document

... to find the exact solutions for a given partial differential equation in the nonlinear science, such as the symmetry reduction, Homogeneous balance method [1], ... See full document