Results 121 to 130 of about 3,312 (162)

Optical solitons and another solutions for Radhakrishnan-Kundu-Laksmannan equation by using improved modified extended tanh-function method

Optical and Quantum Electronics, 2021
This paper studies Radhakrishnan-Kundu-Laksmannan equation which is used to describe the pulse propagation in optical fiber communications. By using improved modified extended tanh-function method various types of solutions are extracted such as bright solitons, singular solitons, singular periodic wave solutions, Jacobi elliptic solutions, periodic ...
Ahmed M. Elsherbeny, Reda El–Barkouky, Hamdy M. Ahmed, Rabab M. I. El-Hassani, Ahmed H. Arnous   +4 more
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A New Generalization of Extended Tanh-Function Method for Solving Nonlinear Evolution Equations

Communications in Theoretical Physics, 2003
Making 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, Chen Yong, Li Biao, Zhang Hong-Qing   +3 more
openaire   +1 more source

Extended tanh-function method and its applications to nonlinear equations

Physics Letters A, 2000
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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, 2010
In 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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Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature

Chaos, Solitons & Fractals, 2007
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Ibrahim, R. S., El-Kalaawy, O. H.
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Generalized extended tanh-function method and its application to (1+1)-dimensional dispersive long wave equation

Physics Letters A, 2003
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Zheng, Xuedong, Chen, Yong, Zhang, Hongqing   +2 more
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The modified extended tanh-function method for solving Burgers-type equations

Physica A: Statistical Mechanics and its Applications, 2006
Abstract 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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Variable separation solutions for the Nizhnik–Novikov–Veselov equation via the extended tanh-function method

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, Chao-Qing Dai, Feng-De Zong   +2 more
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Extended Complex tanh-Function Method and Exact Solutions to (2+1)-Dimensional Hirota Equation

Communications in Theoretical Physics, 2007
Summary: In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions' soliton-like solutions of nonlinear equations. This method is more powerful than the complex tanh-function method [\textit{S. A. Khuri}, Chaos Solitons Fractals 20, No. 5, 1037--1040 (2004; Zbl
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Note on same result of different ansätz based on extended tanh-function method for nonlinear models

Applied Mathematics and Computation, 2015
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Ni, Wei-Guo, Dai, Chao-Qing
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