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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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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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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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Sekulić, Dalibor L.   +2 more
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A new extended tanh-function method and its application to the dispersive long wave equations in (2+1) dimensions

Applied Mathematics and Computation, 2004
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Li, De-Sheng, Zhang, Hong-Qing
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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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Exotic localized structures based on variable separation solution of (2+1)-dimensional KdV equation via the extended tanh-function method

Chaos, Solitons & Fractals, 2007
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Dai, Chaoqing   +2 more
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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   +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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New analytical wave structures for generalized B-type Kadomtsev–Petviashvili equation by improved modified extended tanh function method

Physica Scripta
Abstract Recently, solving the complicated nonlinear partial differential equations has become very important demand in order to simulate their physical phenomena. This manuscript focuses on extracting the wave solutions of (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation (GBKPE), which demonstrates the behavior of ...
Mohammed S Ghayad   +5 more
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