[PDF] Top 20 Iterative three dimensional Helmholtz Equation solutions using the Wave Expansion Method

... Considerable amount of attention has been given to domain decomposition m eth­ ods in recent years for linear elliptic problems. Domain decomposition involves the subdivision of a given problem into a number of ... See full document

... )-expansion method to exhibit exact solutions for NLEEs in mathematical physics via the (1 + 1)-dimensional compound KdVB equation ...This equation can be thought of as a ... 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

... -expansion method is proposed for constructing more general exact solutions of the (2 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation and its generalized ...-expansion ... See full document

... )-expansion method is applied to obtain new exact solutions with parameters of higher-dimensional nonlinear time-fractional differential equations (NTFDEs) in the sense of the conformable ... See full document

... is entirely equivalent to the extended tanh-function expansion method originally proposed by Fan [5]. Furthermore, in [4] we showed that the latter method is more efficient and more user-friendly than ... See full document

... exact solutions of nonlinear partial differential equations (NLPDEs) is of great sig- nificance, since the nonlinear complex physical phe- nomena related to the NLPDEs are involved in many fields from physics ... See full document

... new solutions of the BLMP ...BLMP equation was derived in ...Painlevé expansion and symbolic computation, and a solution of the potential BLMP system with three arbitrary functions was given ... See full document

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

... (G'/G)-expansion method is a powerful and simple technique for finding exact traveling wave solutions to nonlinear evolution equations ...traveling wave solutions for the (1 + ... See full document

... one-dimensional solutions of nonlinear ordinary differential equations in [8] proposed a method of ...this method, a decision along the nonlinear problem is reduced to solving a sequence of ... See full document

... constant. Equation (11) describes the (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with along wave along the ...auxiliary equation method of the ... See full document

... -expansion method. For example, Alam and Akbar [38] [39] applied this method for finding traveling wave solutions of the KP-BBM equation, the (3 + 1)-dimensional ... See full document

... The three-dimensional power Korteweg-de Vries equation [u t +u n u x +u xxx ] x + u yy + u zz = 0, is ...Solitary wave solutions for any positive integer n and cnoidal wave ... See full document

... exact solutions of nonlinear equations still have drawn a lot of interest by diverse group of ...past three decades, there has been significant progress in the development of finding effective methods for ... See full document

... u  f x t u u u u xt  (1) where u  u x t   , is a function of two independent variables t and x. The functional I u x t    ,  is said to be a constant of motion or an integral of Equation (1), if it ... See full document

... random wave field with prescribed power spectrum, what fraction of the points where dislo- cations pierce any two-dimensional section corresponds to dislocation lines that are part of a knot? This is a ... See full document

... group iterative schemes for solving Burgers' ...group iterative scheme as a way to further improve the convergence rate of the method in solving the this ... See full document

... Eckhaus equation and derivative nonlinear Schr¨ odingers ...this method is efficient in finding the exact solutions of complex nonlinear partial differential ... See full document

... A wave is a disturbance or oscillation that travels through space-time, accompanied by a transfer of ...A wave carries energy when it travels from one point to another without transporting the material ... See full document