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[PDF] Top 20 Exact Solutions of Gardner Equations through tanh coth Method

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Exact Solutions of Gardner Equations through tanh coth Method

Exact Solutions of Gardner Equations through tanh coth Method

... the exact solution of nonlinear evolution eq- uations is an important ...original method, such as Hirota’s bilinear method [1], homogeneous balance method [2] [3], projective Riccati equation ... See full document

8

The tanh coth method for some nonlinear pseudoparabolic equations with exact solutions

The tanh coth method for some nonlinear pseudoparabolic equations with exact solutions

... the tanh-coth method and symbolic computation system Maple, we have obtained abundant new solutions of these ...The exact solutions show that the tanh-coth ... See full document

18

EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS

EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS

... using tanh-coth method. These equations discussed by wazwaz[1] when ...the tanh-coth method. In Section 4, we apply this method to finding exact ... See full document

17

Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

... wave equations. The exact solutions of NLEEs play an important role in the study of nonlin- ear physical phenomena and one of the fundamental problems for this is to obtain their traveling wave ... See full document

11

The extended tanh method for certain system of nonlinear ordinary differential equations

The extended tanh method for certain system of nonlinear ordinary differential equations

... no exact analytical solutions been presented for ...new exact closed form solutions for ...the solutions presented here are significant in many ...the tanh procedure then we ... See full document

8

Exact Solutions of (3 +1)-dimensional Potential-YTSF Equation by Improved (G’/G)-expansion Method and the Extended Tanh-Method

Exact Solutions of (3 +1)-dimensional Potential-YTSF Equation by Improved (G’/G)-expansion Method and the Extended Tanh-Method

... the exact traveling wave solutions of nonlinear evolution equations in mathematical physics via the (3+1)-dimensional potential-Yu-Toda-Sasa-Fukuyama (YTSF) equation by using two methods: namely, a ... See full document

12

Exact solutions of two nonlinear partial differential equations by using the first integral method

Exact solutions of two nonlinear partial differential equations by using the first integral method

... obtaining exact solutions of nonlinear partial differential equations (PDEs) has become more and more stimulating for mathematicians and ...Having exact so- lutions of nonlinear PDEs makes it ... See full document

9

Expanding the Tanh Function Method for Solving Nonlinear Equations

Expanding the Tanh Function Method for Solving Nonlinear Equations

... the 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 ... See full document

9

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

... differential equations in modelling physical phenomena has become an important ...wave solutions plays an important role in nonlinear ...bilinear method[2], sine-cosine method[3], homotopy ... See full document

5

New Explicit Exact Solutions of the One-Dimensional Parabolic-Parabolic Keller-Segel Model

New Explicit Exact Solutions of the One-Dimensional Parabolic-Parabolic Keller-Segel Model

... Investigating exact solutions of nonlinear evolution equations plays an important role in nonlinear ...sech solutions and kink-shaped tanh ...these solutions is significant for ... See full document

8

Exact Solutions to the Generalized Benjamin Equation

Exact Solutions to the Generalized Benjamin Equation

... seeking exact solutions for nonlinear evolution equations (NLEES) plays an important role in mathematical ...scattering method [1], Hirota bilinear method [2], the tanh-function ... See full document

7

A Generalized Tanh Function Type Method and the(G'/G)   Expansion Method for Solving

A Generalized Tanh Function Type Method and the(G'/G) Expansion Method for Solving

... for exact solutions of nonlinear partial differential equations (NLPDEs) plays an important role in the study of nonlinear physical phenomena and be- comes one of the most exciting and extremely ... See full document

6

The Tanh Methods for the Hirota Equations

The Tanh Methods for the Hirota Equations

... differential equations (NPDEs) are widely used to describe many important phenomena and dynamic processes in physics, chemistry, biology, fluid dynamics, plasma, optical fibers and other areas of ...for ... See full document

5

Solutions of Zhiber Shabat and Related Equations Using a Modified tanh coth Function Method

Solutions of Zhiber Shabat and Related Equations Using a Modified tanh coth Function Method

... Abstract The modified tanh-coth function method is used to obtain new exact travelling wave solutions for Zhiber-Shabat equation and the related equations: Liouville equation, sinh-Gordo[r] ... See full document

12

Exact soliton solutions of the generalized combined and the generalized double combined sinh-cosh-Gordon equations

Exact soliton solutions of the generalized combined and the generalized double combined sinh-cosh-Gordon equations

... extended tanh method is used to construct exact solutions of the generalized combined sinh-cosh-Gordon equations and the generalized double combined sinh-cosh-Gordon equations ... See full document

7

Modified F-Expansion Method Applied to Coupled System of Equation

Modified F-Expansion Method Applied to Coupled System of Equation

... the solutions can be uniformly expressed in terms of some special ...differential equations (PDE’s) can be transformed into a set of algebraic equations through balancing the same order of the ... See full document

8

Solitary Wave solutions of the BK equation and ALWW system by using the first integral method

Solitary Wave solutions of the BK equation and ALWW system by using the first integral method

... more exact so- lutions of ...obtain exact solutions of nonlinear evolution equations, such as tanh-sech function method [1, 2, 3, 4], extended tanh function method ... See full document

11

Exact solutions for fractional partial differential equations by a new fractional sub equation method

Exact solutions for fractional partial differential equations by a new fractional sub equation method

... differential equations, research into seeking ex- act solutions and numerical solutions of fractional differential equations is an important ...and exact solutions of fractional ... See full document

12

Exact solutions of nonlinear interval Volterra
 integral equations

Exact solutions of nonlinear interval Volterra integral equations

... obtaining solutions of each real-valued system, we finally check that the obtained solutions create an interval as output of original interval system or ... See full document

14

Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation

Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation

... balance method has been applied to obtain the new exact solutions of the (3+1) Jimbo-Miwa ...This method has the advantages of being direct and concise. The method proposed in this ... See full document

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