Title of article
Exact solutions of the simplified Keller–Segel model
Author/Authors
Cherniha، نويسنده , , Roman and Didovych، نويسنده , , Maksym، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2013
Pages
12
From page
2960
To page
2971
Abstract
Lie symmetries of a simplified Keller–Segel system are found and applied for construction of exact solutions. The algorithms for constructing all possible traveling wave and self-similar solutions of the system in question are presented. Several families of such solutions in an explicit form are found, their properties examined and possible applicability for chemotaxis modeling is discussed.
Keywords
traveling wave , Self-similar solution , Lie symmetry , Keller–Segel model
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2013
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1538061
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