[PDF] Top 20 Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
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Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... differential equations. In nonlinear science it is of great importance and interest to explain physical models and attain analytical ...by nonlinear partial differential ...differential ... See full document
11
New Extended (G’/G) Expansion Method and its Application in the (3+1) Dimensional Equation to Find New Exact Traveling Wave Solutions
... of nonlinear par- tial differential equations have been found via presented (G ′ /G)-expansion ...this method to the (3+1)-dimensional Jimbo-Miwa ...this method is ... See full document
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Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63]
... three nonlinear evolution equations that arise in the mathematical mod- elling of ...the method delivers more general forms of solution than other ...tanh-function expansion ... See full document
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Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... extended G / ′ G − expansion method has been applied to search exact travelling wave solutions for the non-linear Klien-Gordon ...this method is productive, effective and well-built ... See full document
7
Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method
... the evolution and interaction to nonlinear waves, such as fluid dynamics, aerodynamics, con- tinuum mechanics, solitons and turbulence et al, it possesses an infinitely many symmetries and the ... See full document
7
Exact Solutions of (3 +1)-dimensional Potential-YTSF Equation by Improved (G’/G)-expansion Method and the Extended Tanh-Method
... and G′ ( ξ ) G i ( ξ ) ( i = 0 , ± 1 , ± 2 , ± 3 , ⋯ ...algebraic equations for α n , p , q , r , V and constant(s) of integration, if ...by solving these set of algebraic equations and ... See full document
12
A Generalized Tanh Function Type Method and the(G'/G) Expansion Method for Solving
... Y aY bY c a (2.4) where Y d Y d . , , are constants to be determined later , and non-negative inte- gers and can be determined by considering the homogeneous balance between the highest order ... See full document
6
The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... various nonlinear PDEs via this ...powerful method. In [40], Abazari and Abazari concerned about the same method for obtaining hyperbolic, trigonometric and rational func- tion solutions of ... See full document
9
Application of the novel (G'/G) expansion method to construct traveling wave solutions to the positi
... to nonlinear evolution equations ...the method has been implemented to find the traveling wave solutions to the positive Gardner-KP ...this method for finding exact and traveling wave ... See full document
12
New Generalized (G'/G) Expansion Method Applications to Coupled Konno Oono Equation
... Step 6: Suppose that the value of the constants α i ( i = 0,1, 2, , N ) , β i ( i = 1, 2, , N ) , d and V can be found by solving the algebraic equations obtained in Step 5. Since the general solution ... See full document
12
Generalized Exp $\phi(\xi))$-expansion Method for Solving Non-linear Evolution Equations
... Nonlinear evolution equations arise in many fields of sciences including physics, mechanics and material ...handle nonlinear evolution equations with constant coefficients and ... See full document
7
Exact Traveling Wave Solutions for the (1 + 1) Dimensional Compound KdVB Equation via the Novel (G'/G) Expansion Method
... ( G′/G )-expansion method is discussed in Section 2, and directly applied in Section 3 to nonlinear evolution equations elaborated upon ...the equations and sam- ... See full document
12
Solitary and periodic wave solutions of higher dimensional conformable time fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \) expansion method
... differential equations (FDEs) can be viewed as the generalized type of the or- dinary differential equations ...these equations. For instance, the nonlinear oscillation of an earthquake can be ... See full document
15
Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... wave equations in one and two dimensions. Four equations which are the MRLW, IKdV ,2D KdV and CEWE equations have been solved ...proposed method is reliable and effective and gives more ... See full document
13
Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation
... and large amount of new exact traveling wave solutions with several free parameters. The exact solutions have its great importance to expose the inner mechanism of the complex physical phenomena. Apart from the physical ... See full document
11
Application of the new approach of generalized (G' /G) -expansion method to find exact solutions of nonlinear PDEs in mathematical physics
... ( G ′ / G ) -expansion method for the exact solution to this equation and constructed some new solutions which are not found in the previous ...The method offers solutions with free ... See full document
13
The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
... non-linear evolution equations (NLEEs) for the past many ...Exp-function method [2, 3], sine-cosine method [4], tanh-coth [7], tanh method [6], auxiliary equation method [7], the ... See full document
15
A New Extended (G'/G) Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations
... /G)-expansion method is that the method provides more general and large amount of new exact traveling wave solutions with several free ...of nonlinear evolution equations ... See full document
5
Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... 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
11
Exact Solutions of the BBM and MBBM Equations by the Generalized (G'/G )-expansion Method Equations
... (1.2) which was first derived to describe an approximation for surface long waves in nonlinear dispersive media[25]. The equation can also characterize the hydromagnetic waves in cold plasma, acoustic waves in ... See full document
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