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[PDF] Top 20 The exp( φ(ξ)) Expansion Method and Its Application for Solving Nonlinear Evolution Equations

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The exp( φ(ξ)) Expansion Method and Its Application for Solving Nonlinear Evolution Equations

The exp( φ(ξ)) Expansion Method and Its Application for Solving Nonlinear Evolution Equations

... An attractive nonlinear model for the nonlinear science in the deoxyribonucleic acid (DNA). The dynamics of DNA molecules is one of the most fascinating problems of modern biophysics because it is at the ... See full document

11

Advance Exp (-Φ(ξ)) Expansion Method and Its Application to Find the Exact Solutions for Some Important Coupled Nonlinear Physical Models

Advance Exp (-Φ(ξ)) Expansion Method and Its Application to Find the Exact Solutions for Some Important Coupled Nonlinear Physical Models

... coupled nonlinear evolution equations (NLEEs) are widely used to describe many physical mechanisms of natural phenomena and dynamical processes in mathematical physics and ...analytical ... See full document

10

The exp( j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics

The exp( j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics

... The exp ( −ϕ ξ ( ) ) method is employed to find the exact traveling wave solutions involving para- meters for nonlinear evolution ...the exp ( −ϕ ξ ( ) ) method ... See full document

13

Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method

Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method

... of nonlinear partial differential ...the nonlinear partial differential equation to the nonlinear ordinary equa- tion to handle them by some tractable integration ...some nonlinear system were ... See full document

7

Analytical and Traveling Wave Solutions to the Fifth Order Standard Sawada Kotera Equation via the Generalized exp( Φ(ξ)) Expansion Method

Analytical and Traveling Wave Solutions to the Fifth Order Standard Sawada Kotera Equation via the Generalized exp( Φ(ξ)) Expansion Method

... −Φ ξ -expansion method for investigating the traveling wave solutions of the nonlinear fractional partial differential ...this method for solving ...posed method, ... See full document

10

Generalized Exp $\phi(\xi))$-expansion Method for Solving Non-linear Evolution Equations

Generalized Exp $\phi(\xi))$-expansion Method for Solving Non-linear Evolution Equations

... generalized exp( ϕ ( ξ ) ) -expansion method is used to find traveling wave solutions of Korteweg-de Varies equation (KdV) and modified Liouville ...This method gives travelling wave ... See full document

7

Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method

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

Exact Solutions of the BBM and MBBM Equations by the Generalized (G'/G )-expansion Method Equations

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 method[4], ... See full document

5

Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method

Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method

... The application of nonlinear traveling waves has been brought prosperity in the field of applied ...the nonlinear phenomena as well as further application in the practical life, it is ... See full document

8

Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G)  Expansion Method

Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method

... this method is trustworthy and gives many new ...-expansion method can be further used to solve many nonlinear evolution equations which frequently arise in various scientific ... See full document

11

New Jacobi Elliptic Function Solutions for Coupled KdV-mKdV Equation

New Jacobi Elliptic Function Solutions for Coupled KdV-mKdV Equation

... and its application to solve some nonlinear evolution equations, Applied Mathematics and Computation, .../G)-expansion method and its applications to ... See full document

5

Solving the Burgers Huxley Equation by G'/G Expansion Method

Solving the Burgers Huxley Equation by G'/G Expansion Method

... the nonlinear diffusion ...and its perfection, people put forward a number of methods for solving the nonlinear equations of mathematical physics, such as the homogeneous balance ... See full document

7

Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications

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 fibers and ... See full document

13

Symmetry reduction and exact solutions of two higher dimensional nonlinear evolution equations

Symmetry reduction and exact solutions of two higher dimensional nonlinear evolution equations

... new and cannot be degenerated successively through elliptic function solutions. From the results, we can find more solutions by the exp(–φ(z))-expansion method, whereas we can obtain elliptic ... See full document

19

Three Step Iterative Method for Solving Nonlinear Equations

Three Step Iterative Method for Solving Nonlinear Equations

... the method of (17) (SM) requires a single evaluation of the function and one evaluation of the first and second derivatives, d = ...the method of (17) (SM) is of the third order, p = ... See full document

5

Expanding the Tanh Function Method for Solving Nonlinear Equations

Expanding the Tanh Function Method for Solving Nonlinear Equations

... tanh-function method, we introduce a new approach to solitary wave solutions for solving nonlinear ...proposed method is based on adding integration constants to the resulting non- linear ODEs ... See full document

9

Evolution of Weak Shock Waves in Perfectly Conducting Gases

Evolution of Weak Shock Waves in Perfectly Conducting Gases

... analytical method for studying the kinematics of weak shock, called generalized wave- front expansion, has been proposed by Anile [18] and is based on an asymptotic expansion in a neighborhood of the ... See full document

8

An approximation method for the solving a class of nonlinear integral equations

An approximation method for the solving a class of nonlinear integral equations

... collocation method to solve nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by transformingour problems into a system of ... See full document

7

A double direction conjugate gradient method for solving large-scale system of nonlinear equations

A double direction conjugate gradient method for solving large-scale system of nonlinear equations

... gradient method for solving symmetric nonlinear system of equa- tions is a welcome ...development. Nonlinear conjugate gradient came into existence in the year 1964 [13], since then the work ... See full document

19

Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory

Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory

... is exp ( ) λ i , the service time at the node i is exp ( ) µ i and after he finishes its service at the node i, a customer goes to the node j with the probability P ij or ... See full document

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