%0 Journal Article
%T Conservation Laws and Particular Solutions for a Keller-Segel Model
%A Luyun Chen
%A Jie Lou
%J Advances in Pure Mathematics
%P 107-118
%@ 2160-0384
%D 2025
%I Scientific Research Publishing
%R 10.4236/apm.2025.152005
%X This work focuses on a Keller-Segel chemotaxis model, with an emphasis on its conservation laws. Through a new approach combined with the multiplier method, called the <i>mixed method</i>, we obtain conservation vectors that are related and unrelated to symmetric information. In addition, some exact solutions with particular forms are obtained according to the <i>method </i><i>of </i><i>conservation laws</i>. These particular solutions are different from the group-invariant solutions.
%K Keller-Segel Model
%K Conservation Laws
%K Mixed Method
%K Exact Solutions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140966