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Avdonina, E.D. and Ibragimov, N.H. (2013) Ibragimov, Conservation Laws and Exact Solutions for Nonlinear Diffusion in Anisotropic Media. Communications in Nonlinear Science and Numerical Simulation, 18, 2595-2603.
https://doi.org/10.1016/j.cnsns.2013.02.009

has been cited by the following article:

• 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.