[PDF] Top 20 Application of the new approach of generalized (G' /G) -expansion method to find exact solutions of nonlinear PDEs in mathematical physics

... our solutions are coincided with previously published results, if the parameters are taken particular values which validate our ...obtain exact solutions via the improved ( G ′ / G ) ... See full document

... deriving exact solutions of NLEEs are Backlund transformation method [10], Darboux Transformations [8], tanh-function method [18], Exp-function method [7] and so ... See full document

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

... finding exact solutions to nonlinear equa- tions is important for the understanding of most nonlinear physical ...the nonlinear wave phenomena observed in fluid dynamics, plasma and op- ... See full document

... plasma physics, optical fibers, biophysics, geochemistry, electricity, propagation of shallow water waves, high-energy physics, condensed matter physics, quantum mechanics, elastic media, biology, ... 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

... 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 generalized ( ... See full document

... ( G G '/ ) -expansion method and the basic ( G G '/ ) -expansion method where G satisfies the second-order linear ordinary differential ...presented ... See full document

... establishing exact traveling wave solutions to nonlinear evolution equations ...the method has been implemented to find the traveling wave solutions to the positive Gardner-KP ... See full document

... solid-state physics, plasma physics, plasma waves, biology, optical fibers, the heat flow and the wave propaga- tion phenomena, quantum mechanics ...etc. Nonlinear wave phenomena of diffusion, ... 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 ... 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

... proposed method is powerful tool and very user-friendly for solving ...On exact solution some novel results and computational methods involved to travelling-wave transformation, see the references, ... See full document

... finding exact traveling wave solutions to the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation and good Boussinesq equations have been done by several ...engaged new ( G / G ) ... See full document

... the G'/G expansion method with the aid of computer algebraic sys- tem “Mathematics”, the exact general solutions were obtained for the Burgers-Huxley equation and special ... See full document

... the nonlinear term of the highest order appearing in the reducing ODE according to the traveling wave variables ...explicit solutions of a nonli- near evaluation equation will be obtained by combining the ... See full document

... (G’/G)-expansion method can be used to construct exact traveling wave solutions of non-linear evolution ...explore new application of this method to ... 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 equation (1) can be ... See full document

... for exact solutions of nonlinear partial differential e- quations (PDE’s) has become more and more attractive field in different branches of physics and applied ...state physics, fluid ... See full document

... lutions by putting them bac the original equation. We hope that they will be useful for further studies in applied sciences. According to Case 5, present method failed to obtain the general solution of gKP for n = ... See full document