[PDF] Top 20 Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method

... 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 ... See full document

... the new approach against the extended (G ′ /G)-expansion method is that the method provides more general and large amount of new exact traveling wave ... 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

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

... ( G′/G )-expansion method is discussed in Section 2, and directly applied in Section 3 to nonlinear evolution equations elaborated upon ...obtained solutions and ... See full document

... improved, Generalized and improve G / ′ G − expansion method [12-24] with different auxiliary ...investigated traveling wave solutions for non- linear Klein-Gordon ... 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

... 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

... the new approach against the basic (G ′ /G)-expansion method is that the method provides more general and large amount of new exact traveling wave ... See full document

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

... the wave propaga- tion phenomena, quantum mechanics etc. Nonlinear wave phenomena of diffusion, reaction, dispersion, dissipation, and convection are very important in nonlinear wave ... See full document

... BBM equations using the generalized (G'/G )-expansion ...This method is applied for finding travelling wave solutions of nonlinear evolution ...This ... See full document

... differential equations (NPDEs) are widely used to describe complex phenomena in various fields including either the scientific works or engineering fields, such as fluid mechanics, chemical physics, chemichel ... See full document

... wave equations in one and two dimensions. Four equations which are the MRLW, IKdV ,2D KdV and CEWE equations have been solved ...exact solutions are obtained which include the ... See full document

... ‘new’ solutions when often the truth is that the so-called ‘new’ solutions are merely disguised versions of previously known solutions that may be found by more efficient ... See full document

... -expansion method [13]-[19], sine-cosine method [20], the modified simple equation method [21], the ( G G ′ ) -expansion method [22] [23], the modified extended ... See full document

... integral method [33–37], the Kudryashov method [38–43], the modified extended tanh expansion method [44], the ( G G , G 1 )-expansion method [45–51], ...( ... 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 inverse ... See full document

... Abstract: Nonlinear mathematical models and their solutions attain much attention in soliton ...travelling wave solutions of foam drainage equation and NLEE of fourth ... See full document