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Analysis to Some Solutions Obtained by Modified Extended tanh-Function Method
Communications in Theoretical Physics, 2010First, two tanh-coth type solutions of a class of nonlinear wave equation are derived by using a simplified modified extended tanh-function method. Then, further analysis to some tanh-coth type solutions of nonlinear evolution equations are given. The results show that when balance number m is one or two, the tanh-coth type solutions obtained by the ...
Chun-Ping Liu, Zhi-Gui Lin
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Extended tanh-function method and its applications to nonlinear equations
Physics Letters A, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Communications in Theoretical Physics, 2007
Summary: We combine the tanh function method with the symmetry group method to construct new type of solutions of Davey-Stewartson equation and implemente it in a computer algebraic system. As a result, some new types of solutions are obtained. This method is also applied to other differential equations if the nonlinear evolution equations admit ...
Zhi, Hong-Yan, Zhang, Hong-Qing
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Summary: We combine the tanh function method with the symmetry group method to construct new type of solutions of Davey-Stewartson equation and implemente it in a computer algebraic system. As a result, some new types of solutions are obtained. This method is also applied to other differential equations if the nonlinear evolution equations admit ...
Zhi, Hong-Yan, Zhang, Hong-Qing
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Computer Physics Communications, 1996
Summery: The tanh-function method for finding explicit travelling solitary wave solutions to non-linear evolution equations is described. The method is usually extremely tedious to use by hand. We present a Mathematica package ATFM that deals with the tedious algebra and outputs directly the required solutions.
Parkes, E. J., Duffy, B. R.
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Summery: The tanh-function method for finding explicit travelling solitary wave solutions to non-linear evolution equations is described. The method is usually extremely tedious to use by hand. We present a Mathematica package ATFM that deals with the tedious algebra and outputs directly the required solutions.
Parkes, E. J., Duffy, B. R.
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Shape changing soliton in a site-dependent ferromagnet using tanh-function method
Physica Scripta, 2008Summary: The dynamics of an inhomogeneous (site-dependent) Heisenberg ferromagnetic spin chain with Gilbert damping is expressed in the form of the Landau-Lifshitz-Gilbert (LLG) equation in the classical continuum limit. By stereographic projection of the unit sphere of spin onto a complex plane, we rewrite the LLG equation in terms of the ...
Kavitha, L., Sathishkumar, P., Gopi, D.
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Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim, R. S., El-Kalaawy, O. H.
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Modified extended tanh-function method for solving nonlinear partial differential equations
Physics Letters A, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elwakil, S. A. +3 more
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The modified extended tanh-function method for solving Burgers-type equations
Physica A: Statistical Mechanics and its Applications, 2006Abstract By means of the modified extended tanh-function (METF) method the multiple travelling wave solutions of some different kinds of nonlinear partial differential equations are presented and implemented in a computer algebraic system. Solutions for the nonlinear equations such as one-dimensional Burgers, KDV–Burgers, coupled Burgers and two ...
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A New Generalization of Extended Tanh-Function Method for Solving Nonlinear Evolution Equations
Communications in Theoretical Physics, 2003Making use of a new generalized ansatze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh ...
Zheng Xue-Dong +3 more
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Modified extended tanh-function method for solving nonlinear partial differential equations
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Wakil, S. A., Abdou, M. A.
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