Abstract
In this work, the extended homogeneous balance method is used to derive exact solutions of nonlinear evolution equations. With the aid of symbolic computation, many new exact travelling wave solutions have been obtained for Fisher’s equation and Burgers-Fisher equation. Fisher’s equation has been widely used in studying the population for various systems, especially in biology, while Burgers-Fisher equation has many physical applications such as in gas dynamics and fluid mechanics. The method used can be applied to obtain multiple travelling wave solutions for nonlinear partial differential equations.
Keywords
Publication details
- DOI
- 10.53539/squjs.vol26iss1pp22-30
- Journal
- Sultan Qaboos University Journal for Science, 26(1), 22-30
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY-ND 4.0
Cite this article
APA 7
Fares, M. M., Abdelsalam, U. M., & Allehiany, F. M. (2021). Travelling Wave Solutions for Fisher’s Equation Using the Extended Homogeneous Balance Method. Sultan Qaboos University Journal for Science, 26(1), 22-30. https://doi.org/10.53539/squjs.vol26iss1pp22-30
MLA 9
Fares, Mohammad M., et al. "Travelling Wave Solutions for Fisher’s Equation Using the Extended Homogeneous Balance Method." Sultan Qaboos University Journal for Science, vol. 26, no. 1, 2021, pp. 22-30. https://doi.org/10.53539/squjs.vol26iss1pp22-30.
Chicago (author–date)
Fares, Mohammad M., Usama M. Abdelsalam, and Faiza M. Allehiany. 2021. "Travelling Wave Solutions for Fisher’s Equation Using the Extended Homogeneous Balance Method." Sultan Qaboos University Journal for Science 26 (1): 22-30. https://doi.org/10.53539/squjs.vol26iss1pp22-30.
Harvard
Fares, M. M., Abdelsalam, U. M. and Allehiany, F. M. (2021) 'Travelling Wave Solutions for Fisher’s Equation Using the Extended Homogeneous Balance Method', Sultan Qaboos University Journal for Science, 26(1), pp. 22-30. doi:10.53539/squjs.vol26iss1pp22-30.
Vancouver
Fares MM, Abdelsalam UM, Allehiany FM. Travelling Wave Solutions for Fisher’s Equation Using the Extended Homogeneous Balance Method. Sultan Qaboos University Journal for Science. 2021;26(1):22-30. doi:10.53539/squjs.vol26iss1pp22-30
IEEE
M. M. Fares, U. M. Abdelsalam, and F. M. Allehiany, "Travelling Wave Solutions for Fisher’s Equation Using the Extended Homogeneous Balance Method," Sultan Qaboos University Journal for Science, vol. 26, no. 1, pp. 22-30, 2021, doi: 10.53539/squjs.vol26iss1pp22-30.