The Extended Tanh-Function Method
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
... 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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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
... tended tanh function method [–], the modified extended tanh function method [, ], the exp-function method [–], the Weierstrass elliptic function ...
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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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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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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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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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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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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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Approximate Analytical Solutions Of The Fractional Nonlinear Dispersive Equations Using Homotopy Perturbation Sumudu Transform Method (Hpstm)
... perturbation method that is called Homotopy perturbation Sumudu transform method ...The method gives more realistic series solutions that converge very rapidly in physical ...proposed method, ...
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New Exact Travelling Differential Equations by Using Tanh Method
... using tanh (or tangent hyperbolic) method. This method depending on the travelling wave solutions and does not use any conditions to solve any system of partial differential ...The tanh ...
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The tanh coth method for some nonlinear pseudoparabolic equations with exact solutions
... scattering method has been thoroughly used to derive the multiple soliton solutions of equation () [, ...the tanh-coth method, which is less sophisticated than the inverse scattering ...
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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
... mapping function to any degree of accuracy in an iterative ...universal function approximation capability, resistance to noisy or missing data, accommodation of multiple non-linear variables with unknown ...
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Exact Solutions of Gardner Equations through tanh coth Method
... through tanh-coth method. In order to prove supe- riority of the tanh-coth method, we apply it on Gardner equations which are more complex and have higher ...
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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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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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Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions
... numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at ...
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The Exp Function Method for Solving Two Dimensional Sine Bratu Type Equations
... Exp-function method. The results show that Exp-function method is a powerful tool for obtaining solitary ...Exp-function method can be easily extended to all kinds of ...
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An Effective Neural Network Model for Graph based Dependency Parsing
... • Instead of using large number of hand-crafted features, our model only uses atomic fea- tures (Chen et al., 2014) such as word uni- grams and POS-tag unigrams. Feature com- binations and high-order features are auto- ...
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