[PDF] Top 20 F-Expansion method for the nonlinear generalized Ito System

... a solution of ODE 2. 4 . , by inserting 3. 1 into Eqs. 2. 2 , and considering Eq. 2. 4 simultaneously, The left-hand sides of the Eqs. 2. 2 become polynomials in F ξ , if canceling F , setting ... See full document

... eralized Ito-type coupled KdV system (a) and (b) was constructed as a multi-symplectic Hamiltonian partial differential equation by introducing some new variables, and multi- symplectic numerical methods ... 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 ...the method is straightforward, concise, effective, and can ... See full document

... the generalized (G'/G )-expansion method. This method is applied for finding travelling wave solutions of nonlinear evolution ...This method has been successfully applied to ... See full document

... of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of complex physical ...of generalized ( G ′ / G ) -expansion ...this method and the wave ... See full document

... and nonlinear programming, economics and finance, trans- portation equilibrium and engineering science, and so ...new system of nonlinear strongly monotone variational inequalities and studied the ... See full document

... for nonlinear evolution equations, such as the homo- geneous balance method [1], the inverse scattering method [2], Hirotas bilinear transformation [3], the extended tanh-function method [4], ... See full document

... -expansion method where G satisfies the second-order nonlinear ordinary differential equation to generate more general solution and a rich class of new exact traveling wave solutions of ... See full document

... and nonlinear Schrödinger equation are ...a generalized form of the Poin- caré-Birkhoff theorem due to Ding to construct infinitely many periodic solu- tions of the impulsive Duffing equation even in a ... See full document

... of nonlinear partial differential equations (NLPDEs) plays an important role in the study of nonlinear physical phenomena and be- comes one of the most exciting and extremely active ar- eas of research ... See full document

... and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ... See full document

... perturbation method [15], [16], while the last has used the derivative-expansion method ...derived Nonlinear Schrödinger equation and thus showed that drift waves can undergo modulational ... See full document

... of nonlinear evolution equations plays an important role in nonlinear ...of nonlinear partial differential equations (NLPDEs) have been presented such as Hirota’s bilinear method [1], inverse ... See full document

... improved F- expansion method for generating traveling wave solutions of nonlinear partial differential equation ...the method is that it is independent of the integrability of the ... See full document

... -expansion method to solve the generalized FitzHugh-Nagumo ...this method is reliable, simple and gives many new solutions, its also standard and computerizable method which enable us ... See full document

... The method of generalized wavefront expansion (GWE) is em- ployed to derive a coupled system of nonlinear transport equations for the jump of field variables and of its spatial ... See full document

... Exp-function method [16-22], the ( ⁄ ) -expansion method [23-30], the improved ( ⁄ ) -expansion method [31-32], the two variable ( ⁄ , 1⁄ ) -expansion method [33, 34], the ... See full document

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

... is an unknown function to be determined later. It is noteworthy to point out that some of our solutions are coincided with already published results, if parameters taken particular values which authenticate our ... See full document

... novel method for integration of rapidly oscillatory integrals is presented, and then some authors worked on this area [9, 10, ...new method to approximate a definite integral ∫ a b f(x)dx by using ... See full document