[PDF] Top 20 Traveling Wave Solutions of Nonlinear Evolution Equations Via the Modified Simple Equation Method

... this method is that, (( ) is not known function or not a solution of any uncomplicated equation, whereas in the Exp-function method, tanh-function method, ( / )-expansion method, ... See full document

... to nonlinear evolution equations in various fields of science and ...transformation method [1], the Hirota bilinear transform method [2], the Painleve integration method [3-6], ... See full document

... /G)-expansion method is that the method provides more general and large amount of new exact traveling wave solutions with several free ...exact solutions have its great ... See full document

... Exact solutions of nonlinear evolution equations (NLEEs) play very important role to make known the inner mechanism of compound physical ...)-expansion method is used for constructing ... See full document

... exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of compound physical ...)-expansion method for seeking the exact ... See full document

... sub-equation method to show that the general elliptic equation can be degenerated in some special conditions to the Riccati equation, first-kind elliptic equation, and generalized ... See full document

... /G)-expansion method is used to search for the exact traveling wave solutions of the coupled KdV-mKdV ...function solutions are obtained. It is shown that the method is ... 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 ...-expansion method was ... See full document

... the modified simple equation ...breaking equation and (3+1)-dimensional Kadomstev-Petviash-viliare are new and different from those obtained in [38] ...solitary wave solutions of ... See full document

... exact traveling wave solutions of nonlinear evolution equations is ...mapping method” that unifies them. This method is extended here to find a class of formal ... See full document

... exact traveling wave solutions of various nonlinear PDEs via this ...Piskunov equation to obtain analytical solutions by using the same ...abundant traveling ... See full document

... A modified 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

... expansion method has been applied to search exact travelling wave solutions for the non-linear Klien-Gordon ...exact solutions. The solutions are in the form of trigonometric and ... See full document

... The modified simple equation method is employed to find the exact traveling wave solutions in- volving parameters for nonlinear evolution equations ... 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

... The modified simple equation method is effectively used to investigate exact traveling wave solutions of the nonlinear partial Klien-Gordon differential ... See full document

... -expansion method is a promising method for finding exact traveling wave solutions to nonlinear evolution equations in physical ...-expansion method to find ... See full document

... expansion method is proposed for construct- ing the exact solutions of nonlinear evolution ...the method are tested by its applications to the system of shallow water wave ... See full document

... a wave which preserves its shape after it has collided with another wave of the same ...solving nonlinear evolution equations included foam drainage equation and fourth order ... See full document

... balance method has been applied to obtain the new exact solutions of the (3+1) Jimbo-Miwa ...This method has the advantages of being direct and concise. The method proposed in this paper can ... See full document