[PDF] Top 20 The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
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The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... (6) Boussinesq established Equation (6) to illustrate the propagation of long waves in shallow ...this equation can be found in references ... See full document
9
Solitary and Periodic Wave Solutions of the Fourth Order Boussinesq Equation Through the Novel Exponential Expansion Method
... mathematical method have been used to search the exact traveling wave solutions of NPDEs, such as the (G'/G)-expansion method [1, 2], new approach of ... See full document
9
Exact Solutions of (3 +1)-dimensional Potential-YTSF Equation by Improved (G’/G)-expansion Method and the Extended Tanh-Method
... tanh-function method proposed by Fan [5] and the basic ( G′ / G ) -expansion method proposed by Wang et al [27] are entirely equivalent as they deliver exactly the same set of ... See full document
12
Some New Traveling Wave Solutions of Modified Camassa Holm Equation by the Improved G'/G Expansion Method
... ( G G '/ ) -expansion method where G = G ( ) η satisfies the second-order nonlinear ordinary differential equation GG '' = pGG ' + qG 2 + v G ( ) ' 2 to ... See full document
23
New Extended (G’/G) Expansion Method and its Application in the (3+1) Dimensional Equation to Find New Exact Traveling Wave Solutions
... the basic (G ′ /G)-expansion method is that the method provides more general and large amount of new exact traveling wave solutions with several free ... See full document
6
The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
... ( G G '/ ) -expansion method and the basic ( G G '/ ) -expansion method where G satisfies the second-order linear ordinary differential ...( ... See full document
15
Application of the novel (G'/G) expansion method to construct traveling wave solutions to the positi
... /G)-expansion method has successfully been implemented to establish travelling wave solutions to the positive Gardner-KP ...this method is reliable and ef- fective to be used in finding exact ... See full document
12
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method
... the basic definitions and properties of the fractional calculus are considered regarding to modified Riemann-Liouville ... G G -expan- sion method has been proposed to find the exact ... See full document
6
Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... drainage equation and NLEE of fourth order. (G'/G)-expansion method is applied on these nonlinear differential ...differential equation into an ordinary ... See full document
11
The k = 1 Finite Element Numerical Solution for the Improved Boussinesq Equation
... improved Boussinesq equation is solved with classical finite element method using the most basic Lagrange element k = 1, which leads us to a second order nonlinear ordinary differential ... See full document
12
General Solution of Generalized (2+1)–Dimensional Kadomtsev Petviashvili (KP) Equation by Using the –Expansion Method
... G G -expansion method is that one treats nonlinear pro by essentially linear ...The method is based on the explicit linearization of NLEEs for traveling waves with a certain ... See full document
7
The Exp Function Method for Solving Two Dimensional Sine Bratu Type Equations
... P u u u u u = (2.1) where P is a multivariate polynomial in its arguments. In the following, it is explained the basic for implement- ing Exp-function method. Taking the change of variable ξ = kx + wy , ... See full document
6
New Explicit Exact Solutions of the One-Dimensional Parabolic-Parabolic Keller-Segel Model
... bilinear method [1], inverse scattering method [2], Backlund transformation method [3], Painleve expansion method [4], Jacobi elliptic function expansion method, the new ... See full document
8
Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63]
... Over the past two decades or so several methods for finding travelling-wave solutions to nonlinear evolution equations have been proposed, developed and extended. The solutions to dozens of equations have been found by ... See full document
6
Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method
... Benjamin-Ono equation. We apply the new approach of generalized ( G ′ / G ) -expansion method for the exact solution of this equation and constructed some new solutions which are ... See full document
8
Exact Solutions of the BBM and MBBM Equations by the Generalized (G'/G )-expansion Method Equations
... )-expansion method. The generalized (G'/G )-expansion method was used to construct solitary wave and periodic wave solutions of nonlinear evolution ...This method is ... See full document
5
Analytical Treatment of the Evolutionary (1 + 1) Dimensional Combined KdV mKdV Equation via the Novel (G'/G) Expansion Method
... [5] Alam, Md.N., Akbar, M.A. and Hoque, M.F. (2014) Exact Traveling Wave Solutions of the (3 + 1)-Dimensional mKdV-ZK Equation and the (1 + 1)-Dimensional Compound KdVB Equation Using New Approach of the ... See full document
9
Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... IKdV) equation , the two dimension Korteweg de Vries (2D KdV) equation and Coupled equal width wave equations (CEWE)[12] ...In order to illustrate the effectiveness and convenience of the ... See full document
13
Travelling Wave Solutions of Coupled Burger’s Equations of Time-Space Fractional Order by Novel (Gʹ/G)-Expansion Method
... Fractional complex transform is the unobtrusive way for the transformation of the fractional order differential equation into integer order differential equation. This simplifies the rest of ... See full document
6
A New Extended (G'/G) Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations
... soliton equation to obtain exact solutions via the extended (G ′ /G)-expansion method and achieved only two set solutions (see in Ref ...soliton equation are constructed by our ... See full document
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