Symmetries and special solutions of a parabolic chemotaxis system

In this paper, we consider a class of chemotaxis models with two arbitrary constitutive functions g(u) and f(v). After having performed a complete symmetry group classification with respect to them the reduced systems are derived. By considering g(u) of the logistic form, wide classes of exact solut...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 2; pp. 2050 - 2058
Main Authors Bruzón, M. S., Gandarias, M. L., Torrisi, M., Tracinà, R.
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.01.2021
Subjects
chemotaxis
Exact solutions
nonlinear parabolic equations
symmetries
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Summary:In this paper, we consider a class of chemotaxis models with two arbitrary constitutive functions g(u) and f(v). After having performed a complete symmetry group classification with respect to them the reduced systems are derived. By considering g(u) of the logistic form, wide classes of exact solutions are found.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6914