Results 111 to 120 of about 3,294 (150)

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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SOLITONS AND OTHER SOLUTIONS FOR THE (2+1)-DIMENSIONAL HEISENBERG FERROMAGNETIC SPIN CHAIN EQUATION USING IMPROVED MODIFIED EXTENDED TANH-FUNCTION METHOD

Advances in Mathematics: Scientific Journal, 2021
This paper studies $(2 + 1)$-dimensional Heisenberg ferromagnetic spin chain model by using improved modified extended tanh-function method. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic solutions, Weierstrass elliptic periodic type solutions and exponential function solutions ...
A. Darwish, H.M. Ahmed, M. Ammar, M.H. Ali, A.H. Arnous   +4 more
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Construction Cubic–Quartic Optical Solitons and Other Solutions for Coupled System of Fokas–Lenells Equation Using the Improved Modified Extended tanh Function Method

International Journal of Applied and Computational Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Islam Samir, Niveen Badra, Hamdy M. Ahmed, Ahmed H. Arnous   +3 more
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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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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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Extended Improved tanh-Function Method for Solving the Nonlinear Physical Problems

Acta Applicandae Mathematicae, 2008
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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, Zhou, Guoquan, Zhang, Jiefang   +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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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
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Zayed, E. M. E., Abdelaziz, M. A. M.
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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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