TITLE:
Conservation Laws and Particular Solutions for a Keller-Segel Model
AUTHORS:
Luyun Chen, Jie Lou
KEYWORDS:
Keller-Segel Model, Conservation Laws, Mixed Method, Exact Solutions
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.15 No.2,
February
28,
2025
ABSTRACT: 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 mixed method, 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 method of conservation laws. These particular solutions are different from the group-invariant solutions.