New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation
Joint Authors
Rezazadeh, Hadi
Baleanu, Dumitru
Chu, Yu-Ming
Javeed, Shumaila
Riaz, Sidra
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This work presents the new exact solutions of nonlinear partial differential equations (PDEs).
The solutions are acquired by using an effectual approach, the first integral method (FIM).
The suggested technique is implemented to obtain the solutions of space-time Kolmogorov Petrovskii Piskunov (KPP) equation and its derived equations, namely, Fitzhugh Nagumo (FHN) equation and Newell-Whitehead (NW) equation.
The considered models are significant in biology.
The KPP equation describes genetic model for spread of dominant gene through population.
The FHN equation is imperative in the study of intercellular trigger waves.
Similarly, the NW equation is applied for chemical reactions, Faraday instability, and Rayleigh-Benard convection.
The proposed technique FIM can be applied to find the exact solutions of PDEs.
American Psychological Association (APA)
Chu, Yu-Ming& Javeed, Shumaila& Baleanu, Dumitru& Riaz, Sidra& Rezazadeh, Hadi. 2020. New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1127403
Modern Language Association (MLA)
Chu, Yu-Ming…[et al.]. New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation. Advances in Mathematical Physics No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1127403
American Medical Association (AMA)
Chu, Yu-Ming& Javeed, Shumaila& Baleanu, Dumitru& Riaz, Sidra& Rezazadeh, Hadi. New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1127403
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127403