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Symmetries and special solutions of a parabolic chemotaxis system
  • +1
  • Maria Bruzon,
  • Maria Luz Gandarias,
  • Mariano Torrisi,
  • Rita Tracina
Maria Bruzon
University of Cadiz, Spain
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Maria Luz Gandarias
University of Cadiz
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Mariano Torrisi
University of Catania
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Rita Tracina
Università di Catania
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Abstract

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.

Peer review status:ACCEPTED

25 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
29 Mar 2020Assigned to Editor
29 Mar 2020Submission Checks Completed
20 May 2020Reviewer(s) Assigned
20 Jul 2020Review(s) Completed, Editorial Evaluation Pending
07 Sep 2020Editorial Decision: Accept