Symmetry and Integrability of Equations of Mathematical Physics − 2013
Maksym Didovych (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
The simplified Keller-Segel model: Lie symmetries, plane wave exact solutions, linearization and Cauchy problem
Lie symmetries of a simplified Keller-Segel system are found and applied for
construction of exact solutions. Several families of such solutions in an
explicit form are found, their properties examined and possible
applicability for chemotaxis modeling is discussed. Linearization of the
system and its Cauchy problem solution are presented.