Double elliptic equation method and new exact solutions of the (n+1)-dimensional sinh-Gordon equation

2007 ◽  
Vol 48 (1) ◽  
pp. 013504 ◽  
Author(s):  
Huaitang Chen ◽  
Huicheng Yin
Keyword(s):  
Elliptic Equation ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Equation Method ◽  
New Exact Solutions

scholarly journals New Exact Solutions for a Generalized Double Sinh-Gordon Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Gabriel Magalakwe ◽  
Chaudry Masood Khalique
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Fluid Dynamics ◽  
Exact Solutions ◽  
Function Method ◽  
Gordon Equation ◽  
Quantum Field ◽  
Integrable Quantum ◽  
New Exact Solutions ◽  
Integrable Quantum Field Theory

We study a generalized double sinh-Gordon equation, which has applications in various fields, such as fluid dynamics, integrable quantum field theory, and kink dynamics. We employ the Exp-function method to obtain new exact solutions for this generalized double sinh-Gordon equation. This method is important as it gives us new solutions of the generalized double sinh-Gordon equation.

The new exact solutions of the new coupled Konno-Oono equation by using extended simplest equation method

2018 ◽  
Vol 12 (6) ◽  
pp. 293-301 ◽  
Author(s):  
Montri Torvattanabun ◽  
Papraporn Juntakud ◽  
Adsadawut Saiyun ◽  
Nattawut Khansai
Keyword(s):  
Exact Solutions ◽  
Equation Method ◽  
New Exact Solutions ◽  
Simplest Equation Method

scholarly journals Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yinghui He ◽  
Yun-Mei Zhao ◽  
Yao Long
Keyword(s):  
Thin Film ◽  
Wave Equation ◽  
Exact Solutions ◽  
Wave Motion ◽  
Wave Equations ◽  
Equation Method ◽  
Nonlinear Wave Equations ◽  
New Exact Solutions ◽  
Simplest Equation Method ◽  
Film Mass Transfer

The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest equation method and, the extended simplest equation method. The KdV-like wave equation was derived for solitary waves propagating on an interface (liquid-air) with wave motion induced by a harmonic forcing which is more appropriate for the study of thin film mass transfer. Thus finding the exact solutions of this equation is of great importance and interest. By these three methods, many new exact solutions of this equation are obtained.

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