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Application of Generalized Logistic Function to Travelling Wave Solutions for a Class of Nonlinear Evolution Equations.
- Source :
-
Mathematics (2227-7390) . Nov2022, Vol. 10 Issue 21, p4017. 13p. - Publication Year :
- 2022
-
Abstract
- The generalized Logistic function that solves a first-order nonlinear ODE with an arbitrary positive power term of the dependent variable is introduced in this paper, by means of which the traveling wave solutions of a class of nonlinear evolution equations, including the generalized Fisher equation, the generalized Nagumo equation, the generalized Burgers-Fisher equation, the generalized Gardner equation, the generalized KdV-Burgers equation, and the generalized Benney equation, are obtained successfully. In these particular cases, traveling wave solutions of several important model PDEs in mathematical physics are also discovered. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 21
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 160207434
- Full Text :
- https://doi.org/10.3390/math10214017