[PDF] Top 20 Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method

... travelling wave solutions for nonlinear partial differential equations plays an important role in the study of nonlinear physical ...phenomena. Nonlinear wave ... See full document

... this study, we considered the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) ...the new approach of generalized ( G ′ / G ) -expansion method for the exact ... 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 ... See full document

... the study of nonlinear partial differential equations in modelling physical phenomena has become an important ...travelling wave solutions plays an important role in nonlinear ... See full document

... this study, we considered the Benjamin-Ono equation. We apply the new approach of generalized ( G ′ / G ) -expansion method for the exact solution of this equation ... See full document

... exact traveling wave solutions to nonlinear evolution equations ...the method has been implemented to find the traveling wave solutions to the ... See full document

... elliptic method [6], the standard tanh and extended tanh methods [7-11], the exp-function method [12-13], the inverse scattering method [14] and others have been proposed to obtain exact ... See full document

... for traveling wave solutions of NLPDEs acts a pivotal part in the study of non- linear physical ...exact solutions of NLPDEs, and many powerful methods have been developed such as ... See full document

... extended G / ′ G − expansion method has been applied to search exact travelling wave solutions for the non-linear Klien-Gordon ...obtained new plentiful exact ... See full document

... (G'/G)-expansion method is a powerful and simple technique for finding exact traveling wave solutions to nonlinear evolution equations ...we ... See full document

... to study the exact traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion ... See full document

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

... exact traveling in this fields such as the inverse scattering method [1], Backlund trans- formation method [11], Darboux Transformations [10], tanh-function method [18], Exp-function ... 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 ...some new Jacobi elliptic ... 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

... exact solutions of nonlinear evolution equations plays an important role in nonlinear ...the wave phenomena observed in fluid dynamics, plasma and elastic media are often ... See full document

... is entirely equivalent to the extended tanh-function expansion method originally proposed by Fan [5]. Furthermore, in [4] we showed that the latter method is more efficient and more user-friendly than ... See full document

... -expansion method is quite efficient and practically will suited for use in finding exact solutions for the problem considered ...here. New and more general excat solutions with ... 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 Riemann-Liouville ...fractional ... See full document

... general solutions of auxiliary Equa- tion (5) have been well known for us (see Appendix A), then substituting the obtained coefficients and the general solution of Equation (5) into Equation (4), we have the ... See full document