[PDF] Top 20 Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
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Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... The nonlinear partial differential equations (NPDEs) are widely used to describe many important phenomena and dynamic processes in physics, chemistry, biology, fluid dynamics, plasma, optical ... See full document
13
New Generalized (G'/G) Expansion Method Applications to Coupled Konno Oono Equation
... of differential equations which are linear or nonlinear, homogeneous or inhomoge- ...all differential equations relating physical phenomena are ...near differential ... See full document
12
The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
... ( G G '/ ) -expansion method has been implemented to generate travelling wave solutions, where G ( ) η satisfies the second order nonlinear ordinary differential ...the ... See full document
15
Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... their applications in physical phenomena’s. Firstly soliton waves are observed by an engineer John Scott ...by differential equations. In nonlinear science it is of great importance and ... See full document
11
Exact Solutions of the BBM and MBBM Equations by the Generalized (G'/G )-expansion Method Equations
... of nonlinear partial differential equations in modelling physical phenomena has become an important ...bilinear method[2], sine-cosine method[3], homotopy perturbation ... See full document
5
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method
... Nonlinear partial differential equations have shown a variety of applications in almost every field, such as in electromagnetic, acoustics, electrochemistry, cosmology, biological and ... See full document
6
A New Extended (G'/G) Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations
... /G)-expansion method to construct exact traveling wave solutions for nonlinear evolution ...our method, we imple- ment it to the (2+1)-dimensional typical breaking soliton ... See full document
5
Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation
... this method and achieve exact solutions to nonlinear partial differ- ential equations (NLPDEs), namely the Benjamin-Ono ...the method by Roshid et al. is a very well-organized ... See full document
11
Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... of nonlinear equations in mathematical physics plays an important role in nonlinear ...of nonlinear partial differential equations through using symbolical computer ... See full document
7
Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... for nonlinear partial differential equations plays an important role in the study of nonlinear physical ...phenomena. Nonlinear wave phenomena appears in various scientific and ... See full document
11
Interval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term
... (G’/G) method to seek exact solutions for three fractional partial differential equations: the space fractional (2+1)-dimensional breaking soliton equation- s, the ... See full document
6
Exact Solutions for Three Fractional Partial Differential Equations by the (G’/G) Method
... of differential equations, integral equations and matrix equations include various aspects, such as the existence and uniqueness of solutions [1,2], seeking for exact solutions [3,4], ... See full document
6
General Solution of Two Generalized Form of Burgers Equation by Using the (G'/G) Expansion Method
... -expansion method is quite efficient and practically well suited for use in find- ing exact solutions for the generalized form of Burgers- Korteweg-de Vries (Burgers-KdV) and Burger-Fisher equa- ...this ... See full document
11
On Global Generalized Solution for a Generalized Zakharov Equations
... [14] K. Mohammed, “New Exact traveling wave solutions of the (3 + 1) dimensional Kadomtsev-Petviashvili (KP) equation,” IAENG Interna- tional Journal of Applied Mathematics, vol. 37, no. 1, pp. 17-19, 2007. [15] N. Shang ... See full document
5
Topological soliton solutions of the some nonlinear partial differential equations
... tanh-sech method [25, 26, 40], extended tanh method [12, 13, 41], sine-cosine method [5, 42], homogeneous balance method [14, 38], first integral method [16, 34], Jacobi elliptic ... See full document
16
RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
... -expansion method [23]-[26], the modified simple equation method [27]-[32] and so ...equation method for finding the exact traveling wave solution of some nonlinear ... See full document
19
Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp( f(?)) Expansion Method
... The objective of this article is to apply The exp((−𝜑(𝜉))- expansion method for finding the exact traveling wave solution of the space-time nonlinear fractional PKP equation, t[r] ... See full document
6
Modified F-Expansion Method Applied to Coupled System of Equation
... this method can be utilized to solve many systems of nonlinear partial differential equations arising in the theory of soliton and other related areas of ...proposed ... See full document
8
New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... a solution of linear terms and the coefficients of the expansion a n ( n 1, 2,3, ), should be ...the nonlinear terms, we need to apply the extension of Cauchy’s product rule to multiple ... See full document
6
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... suggested method with m = 16 and m = ...exact solution and the approximate solution, at m = 16 (in columns 2,3) and m = 32 (in columns 4,5) respectively, are ...approximate solution for the ... See full document
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