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(G′/G)-expansion method equivalent to the extended tanh-function method
Physica Scripta, 2010Very recently, Wang et al (2008 Phys. Lett. A 327 417–23) proposed a method, namely the (G′/G)-expansion method, for constructing multiple travelling wave solutions of nonlinear evolution equations arising in mathematical physics. They believe that the (G′/G)-expansion method is a new method and more travelling wave solutions of many nonlinear ...
S A El-Wakil +4 more
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Applied Mathematics and Computation, 2007
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Zhi, Hongyan, Zhang, Hongqing
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Zhi, Hongyan, Zhang, Hongqing
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The Traveling Wave Solutions of Nonlinear Beam Equations by Tanh-Function Method
Advanced Materials Research, 2014The nonlinear beam equation are real physical models, most of physical phenomena is described by nonlinear partial differential equations. In this work, we employ the tanh-function method to obtain new travelling wave solutions of nonlinear Beam equations.
Jing Chang +3 more
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A self-similar solution and the tanh-function method for the kinetic Carleman system
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022In this article, we consider the one--dimensional kinetic system of Carleman equations. The Carleman system is the kinetic Boltzmann equation. This system describes a monatomic rarefied gas consisting of two groups of particles. One particle from the first group, interacting with a particle of the first group, transforms into two particles of the ...
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Applied Mathematics Letters, 2015
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Lou, Mu-Ren +3 more
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Lou, Mu-Ren +3 more
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The Extended Tanh Function Method for the Kink Patterns Solutions of the Kundu Equation
2010 International Conference on Computational Intelligence and Software Engineering, 2010In this paper, by introducing some appropriate transformation, we study explicit exact ravelling wave solutions for the Kundu equation by using the extended tanh function method. Thus, some new exact travelling wave solutions, which contain kink patterns solutions, solitary solutions and periodic solutions are obtained.
Xinqian Lin, Shengqiang Tang
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The tanh function method for solving some important non-linear partial differential equations
International Journal of Computer Mathematics, 2005Exact solutions of some important non-linear partial differential equations in one and two dimensions are obtained using the tanh function method. The efficiency of the method is demonstrated by applying it to a variety of selected equations.
D. J. Evans, K. R. Raslan
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Physica Scripta, 2007
In this paper, with the variable separation approach and based on the general reduction theory, we successfully generalize this extended tanh-function method to obtain new types of variable separation solutions for the following Nizhnik?Novikov?Veselov (NNV) equation.
Jie-Fang Zhang +2 more
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In this paper, with the variable separation approach and based on the general reduction theory, we successfully generalize this extended tanh-function method to obtain new types of variable separation solutions for the following Nizhnik?Novikov?Veselov (NNV) equation.
Jie-Fang Zhang +2 more
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Physica A: Statistical Mechanics and its Applications, 2021
Abstract In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations.
Xiangfan Piao, Philsu Kim
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Abstract In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations.
Xiangfan Piao, Philsu Kim
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Extended Improved tanh-Function Method for Solving the Nonlinear Physical Problems
Acta Applicandae Mathematicae, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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