[PDF] Top 20 New Extended (G’/G) Expansion Method and its Application in the (3+1) Dimensional Equation to Find New Exact Traveling Wave Solutions

... Abundant traveling wave solutions of nonlinear par- tial differential equations have been found via presented (G ′ /G)-expansion ...this method to the ... See full document

... fKdV equation attracted an important field of research in mathematical physics, with various applications in nonlin- ear optics and quantum ...this equation. Wazwaz [1]–[5] studied the ... See full document

... obtain exact solutions involving parameters of some nonlinear PDEs in mathematical physics; namely the one-dimensional modified complex Ginzburg- Landau equation by using the (G 0 ... See full document

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

... the exact traveling wave solutions of nonlinear evolution equations in mathematical physics via the (3+1)-dimensional potential-Yu-Toda-Sasa-Fukuyama (YTSF) ... See full document

... Investigating 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 modelled by ... See full document

... The extended (G’/G)-expansion method can be used to construct exact traveling wave solutions of non-linear evolution ...explore new application ... See full document

... to find out exact solutions to NLEEs different groups of mathematicians, engineers, and physicist have been working ...search exact solutions, for instance, the Miura transformation ... 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 physical ... See full document

... to find exact solutions of nonlinear equations still have drawn a lot of interest by diverse group of ...obtaining exact solutions of ...balance method [1], the ... See full document

... others. Exact travelling wave solutions of NLPDEs play an important role in the study of nonlinear physical ...for exact solutions to nonlinear evolution equations (NLEEs) has long been ... 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 construct many ... See full document

... finding exact solutions of nonlinear evolution equations have been proposed, such as, the extended tan-method [1], enhanced ( G / ' G ) − expansion method ... See full document

... our solutions are coincided with previously published results, if the parameters are taken particular values which validate our ...ZK-BBM equation to obtain exact solutions via the improved ( ... See full document

... to find new exact solutions of nonlinear equations, much methods have been proposed, such as the Lie group method of infinitesimal transformations, the non- classical Lie group ... See full document

... the wave phenomena observed in fluid dynamics [4, 14], plasma and elastic media [5, 12] and optical fibers [11, 19] ...deriving exact solutions of NLEEs are Backlund transformation method [10], ... See full document

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

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

... the wave of translation method [24], the inverse scattering transform [2], the Adomian decomposition method [31], the Darboux transformation method [21], the Backlund transformation ... 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 ... See full document