Travelling wave solutions for time-delayed nonlinear evolution equations
โ Scribed by Hyunsoo Kim; Rathinasamy Sakthivel
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 321 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
Time-delayed nonlinear evolution equations have a wide range of applications in science and engineering. In this paper, the G G -expansion method is implemented to establish travelling wave solutions for time-delayed Burgers and time-delayed Burgers-Fisher equations. The travelling wave solutions are expressed by hyperbolic functions and trigonometric functions. The results reveal that G G -expansion method is very effective and a powerful tool for solving nonlinear time-delayed evolution equations arising in mathematical physics.
๐ SIMILAR VOLUMES
## a b s t r a c t In this paper, we establish exact solutions for complex nonlinear equations. The tanh-coth and the sine-cosine methods are used to construct exact periodic and soliton solutions of these equations. Many new families of exact travelling wave solutions of the coupled Higgs and Macc
In physical sciences, nonlinear evolution equations (NLEEs) and their exact solutions are of fundamental importance. However, there is no answer yet as to whether or not one is able to go beyond travelling waves with the recently proposed tanh method. In this paper, without loss of conciseness and s