Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation

Thumbnail
Identificadores

URI: http://hdl.handle.net/10498/30849

DOI: 10.1002/mma.5977

ISSN: 0170-4214

ISSN: 1099-1476

Files
Statistics
Metrics and citations
 
Share
Export
EndNoteBibTexRIS
Metadata
Show full item record
Author/s
Bruzón Gallego, María de los SantosAuthority UCA; Garrido Letrán, Tamara MaríaAuthority UCA; Recio Rodríguez, ElenaAuthority UCA; Rosa Silva, Rafael de laAuthority UCA
Date
2020
Department
Matemáticas
Source
Math Meth Appl Sci. 2020; 43:7623–7631
Abstract
In this work we consider a Fisher-Kolmogorov equation depending on two exponential functions of the spatial variables. We study this equation from the point of view of symmetry reductions in partial differential equations. Through two-dimensional abelian subalgebras, the equation is reduced to ordinary differential equations. New solutions have been derived and interpreted.
Subjects
Lie symmetries; Optimal systems; Reductions; Travelling wave solutions; Generalized Fisher-Kolmogorov equation
Collections
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional