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Extended Tanh Function Method

Auto Bäcklund Transformation and Extended Tanh Function Methods to Solve the Time Dependent Coefficients Calogero Degasperis Equation

Auto Bäcklund Transformation and Extended Tanh Function Methods to Solve the Time Dependent Coefficients Calogero Degasperis Equation

... HB method, we have obtained Auto-Bäcklund transformation and new exact solitary and periodic solutions for the VCCD ...the extended tanh function method we have been able to obtain many ...

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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

... as tanh-sech function method [1, 2, 3, 4], extended tanh function method [5, 6, 7, 8], hyperbolic func- tion method [9], sine-cosine method [10, 11, 12], ...

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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

... -expansion method, where G ( ξ ) satisfies the auxiliary ordinary differential equation (ODE) [ G ′ ( ξ )] 2 = p G 2 ( ξ ) + q G 4 ( ξ ) + r G 6 ( ξ ) ; p , q and r are constants and the well known extended ...

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The Tanh Methods for the Hirota Equations

The Tanh Methods for the Hirota Equations

... the tanh method [1–3], extended tanh function method [4], the modified extended tanh function method [5], the generalized hyperbolic function ...

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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

... tended tanh function method [–], the modified extended tanh function method [, ], the exp-function method [–], the Weierstrass elliptic function ...

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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]

Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63]

... the extended tanh-function expansion method originally proposed by Fan ...latter method is more efficient and more user-friendly than the former ...

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

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

... here: tanh − expansion method [ 1 ] − [ 7 ] , the simplest equation method [ 11 ] , the Jacobi elliptic − function method [ 12 ] , the modified simplest equation method [ 13 ] , ...

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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

... the tanh method and the extended tanh method for handling the Zhiber-Shabat equation and other related equations: Liouville equation, sinh-Gordon, Dodd-Bullough-Mikhailov equation, and ...

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New Solitary Wave Solutions for Some Non-linear Partial Differential Equations

New Solitary Wave Solutions for Some Non-linear Partial Differential Equations

... the tanh and Sech function method has been successfully implemented to establish new solitary wave solutions for six nonlinear wave equations, namely, Drinfel’d–Sokolov–Wilson equation, Fornberg- ...

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Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology

Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology

... example, tanh-sech method [2]-[4], extended tanh-method [5]-[7], exp ( − ϕ ξ ( ) ) [8]- [11], homogeneous balance method [12], F-expansion method [13]-[15], ...

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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

... the tanh and extended tanh methods [1-9], ( G G 0 ) -expansion method [10-13], the homogeneous balance method [14], the Jacobi elliptic function method [15, 16], the ...

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Speed-Up Technique of Extended Boundary Node Method for Large-Scale Simulation

Speed-Up Technique of Extended Boundary Node Method for Large-Scale Simulation

... In order to resolve the above demerit, Mukherjee et al. developed the boundary node method (BNM) [2]. Because the BNM is one of the meshless approaches, the prepara- tion of the input data can be extremely ...

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Sinusoidal Neural Networks: Towards ANN that Learns Faster

Sinusoidal Neural Networks: Towards ANN that Learns Faster

... In formula S.2, two weights adjust the phase and amplitude of the sine function. If it is represented with the unit circle, it can be seen that the amplitude of the sine function is not limited to value 1 ...

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A modified three term PRP conjugate gradient algorithm for optimization models

A modified three term PRP conjugate gradient algorithm for optimization models

... implies that the sufficient descent property is satisfied. Zhang et al. proved that the three- term PRP method has global convergence under Armijo line search technique for general functions but this fails for the ...

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Application of OHAM DJ to the System of Burgers’ Equations

Application of OHAM DJ to the System of Burgers’ Equations

... transformation method, differential transformation method and tanh-coth method [6], while an analytical solution of two dimensional Burgers’ equations was first presented by Fletcher using the ...

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Prediction of wheat production using artificial neural networks and investigating indirect factors affecting it: Case study in Canterbury province, New Zealand

Prediction of wheat production using artificial neural networks and investigating indirect factors affecting it: Case study in Canterbury province, New Zealand

... Increasing the number of samples and testing more variables for at least five years can help design a model to predict the trend of agricultural production under different conditions. The results in this study may be ...

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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 tanh-coth method is a powerful mathematical tool for solving nonlinear ...

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The Exp Function Method for Solving Two Dimensional Sine Bratu Type Equations

The Exp Function Method for Solving Two Dimensional Sine Bratu Type Equations

... j = − q  p are unknown constants to be determined. Substituting Equation (2.3) into Equation (2.2) yields an algebraic equation in powers of the Exp-function. Then, to determine the values of m and p, we balance ...

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Short Term Flood Forecasting Using Recurrent Neural Networks a Comparative Study

Short Term Flood Forecasting Using Recurrent Neural Networks a Comparative Study

... In this study we applied different input structure to the general recurrent neural network and studied the optimum performance for different learning rules and activation function. We applied input structures like ...

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Accurate, fast and stable denoising source separation algorithms

Accurate, fast and stable denoising source separation algorithms

... which is identical to the one used in FastICA. Here J ( s ) is the Jacobian of f ( s ). Interpreting the speedup as a spectral shift corresponding to Gaussian noise gives an intuitive explanation to why FastICA is able ...

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