New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation

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)...

Full description

Saved in:
Bibliographic Details
Published in:Advances in mathematical physics 2020, Vol.2020 (2020), p.1-14
Main Authors: Riaz, Sidra, Baleanu, Dumitru, Javeed, Shumaila, Chu, Yu-Ming, Rezazadeh, Hadi
Format: Article
Language:English
Subjects:
Biology
Chemical reactions
Exact solutions
Genes
Mathematical models
Nonlinear differential equations
Nonlinear equations
Ordinary differential equations
Partial differential equations
Polynomials
Rayleigh-Benard convection
Spacetime
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2020/5098329