Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants
نویسندگان
چکیده
منابع مشابه
Painlevé property and approximate solutions using Adomian decomposition for a nonlinear KdV-like wave equation
In this paper, we have discussed the integrability of a nonlinear partial differential equation, with a focus on the Painlevé property, the compatibility condition and the Bäcklund transformation. Afterwards, the Adomian decomposition method, which accurately computes the series solution, has been used to obtain an approximate solution. The convergence analysis based on the wave number and nonl...
متن کاملNew Exact Solutions of a Variable-Coefficient KdV Equation
In this paper, we apply the Miura transformation to construct the connection between a variablecoefficient KdV (vcKdV) equation and a variable-coefficient modified KdV (vcmKdV) equation under certain constraint. Solving the vcmKdV equation by use of the auxiliary equation method and using the Miura transformation, we find a rich variety of new exact solutions for the vcKdV equation, which inclu...
متن کاملExact solutions for wave-like equations by differential transform method
Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...
متن کاملExact and Solitary Wave Solutions to the Generalized Fifth-order KdV Equation by Using the Modified Simple Equation Method
Although the modified simple equation (MSE) method effectively provides exact traveling wave solutions to nonlinear evolution equations (NLEEs) in the field of engineering and mathematical physics, it has some limitations. When the balance number is greater than one, usually the method does not give any solution. In this article, we have exposed a process how to implement the MSE method to solv...
متن کاملExact traveling wave solutions for a generalized Hirota–Satsuma coupled KdV equation by Fan sub-equation method
Article history: Received 28 January 2011 Received in revised form 28 March 2011 Accepted 22 April 2011 Available online 29 April 2011 Communicated by R. Wu
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2014
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2014/578362