Results 131 to 140 of about 3,515 (147)

GENERALIZED EXTENDED TANH-FUNCTION METHOD TO CONSTRUCT NEW EXPLICIT EXACT SOLUTIONS FOR THE APPROXIMATE EQUATIONS FOR LONG WATER WAVES

International Journal of Modern Physics C, 2003
In this paper, a generalized extended tanh-function method for constructing exact solutions of nonlinear evolution equations (NEEs) is presented and implemented in a computer algebraic system. Applying the generalized method, with the aid of Maple, we consider the system of the approximate equations for long water waves and find the new more general ...
Chen, Yong, Yu, Zheng
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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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Symbolic computation of some new nonlinear partial differential equations of nanobiosciences using modified extended tanh-function method

Applied Mathematics and Computation, 2011
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Dalibor L. Sekulic, Miljko V. Sataric, Milos B. Zivanov   +2 more
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( G ′/ G )-Expansion Method Equivalent to Extended Tanh Function Method

Communications in Theoretical Physics, 2009
In a recent article [Physics Letters A 372 (2008) 417], Wang et al. proposed a method, which is called the (G'/G)-expansion method, to look for travelling wave solutions of nonlinear evolution equations. The travelling wave solutions involving parameters of the KdV equation, the mKdV equation, the variant Boussinesq equations, and the Hirota–Satsuma ...
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Exact solutions for the nonlinear Schrödinger equation with variable coefficients using the generalized extended tanh-function, the sine–cosine and the exp-function methods

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elsayed M. E. Zayed, M. A. M. Abdelaziz
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The modified extended tanh-function method for solving coupled MKdV and coupled Hirota–Satsuma coupled KdV equations

Physics Letters A, 2007
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Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein–Gordon–Zakharov equation

Chaos, Solitons & Fractals, 2017
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Akbulut, ARZU, TAŞCAN, FİLİZ
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Derivation of dispersive solitons with quadrupled power law of nonlinearity using improved modified extended tanh function method

Journal of Optics
In this work, The proposed model by Kudryashov with quadruple law of nonlinearity and fourth order dispersion is studied. This model describes the propagation of a highly disperse solitons in optical fibers, which will be with a huge privilege in using in communication systems.
Mina M. Fahim, Hamdy M. Ahmed, K. A. Dib, Islam Samir   +3 more
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MODIFIED EXTENDED TANH-FUNCTION METHOD TO GENERALIZED NONLINEAR DISPERSIVE EQUATION

Journal of Mathematical Sciences: Advances and Applications, 2018
Shixia Lv, Zenggui Wang, Guiying Chen
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Dynamical solitons and other solutions for nonlinear Biswas–Milovic equation with Kudryashov’s law by improved modified extended tanh-function method

Optik, 2021
Hamdy Ahmed, Wafaa B Rabie
exaly