Results 231 to 240 of about 9,582 (250)

Note on the Equivalence of Variable Separation Solutions Based On the Improved tanh-Function Method

Zeitschrift für Naturforschung A, 2015
Abstract The equivalence of variable separation solutions based on the improved tanh-function method (ITM) for nonlinear models is illustrated. As an example, we restudy the (2+1)-dimensional generalised Nizhnik–Novikov–Veselov system via the ITM.
Liang-Qian Kong, Xuan Chen, Ling Xu, Chao-Qing Dai   +3 more
openaire   +1 more source

A complex tanh-function method applied to nonlinear equations of Schrödinger type

Chaos, Solitons & Fractals, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

New exact travelling wave solutions using modified extended tanh-function method

Chaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Wakil, S. A., Abdou, M. A.
openaire   +1 more source

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
openaire   +1 more source

Complex Tanh-Function Expansion Method and Exact Solutions to Two Systems of Nonlinear Wave Equations

Communications in Theoretical Physics, 2004
The complex tanh-function expansion method was presented recently, and it can be applied to derive exact solutions to the Schrodinger-type nonlinear evolution equations directly without transformation. In this paper, the complex tanh-function expansion method is applied to derive the exact solutions to the general coupled nonlinear evolution equations.
Zhang Jin-Liang, Wang Ming-Liang
openaire   +1 more source

A new extended tanh-function method and its application to the dispersive long wave equations in (2+1) dimensions

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De-Sheng Li, Hong-Qing Zhang
openaire   +2 more sources

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
openaire   +2 more sources

( 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 ...
openaire   +1 more source

On an Improved Complex Tanh-function Method

International Journal of Nonlinear Sciences and Numerical Simulation, 2005
openaire   +1 more source

MODIFIED EXTENDED TANH-FUNCTION METHOD TO GENERALIZED NONLINEAR DISPERSIVE EQUATION

Journal of Mathematical Sciences: Advances and Applications, 2018
Shixia Lv, Zenggui Wang, Guiying Chen
openaire   +1 more source