Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner-Goldin theory: existence of solitary waves Alejo Planas, Miguel Ángel López Fernández, José Luis Keller-Segel system Chemotaxis Solitary waves In this paper we investigate various forms of the chemical production-degradation mechanism in a chemotactic system of Keller-Segel type under which the existence of solitary wave solutions is guaranteed. Specifically, the existence of sech-type or compactly supported solitary wave solutions as well as exponential traveling wave profiles for the cell concentration is shown under certain conditions on the physical parameters 2026-01-09T13:45:19Z 2026-01-09T13:45:19Z 2021-07-05 journal article Publisher version: Alejo Planas, M. A. y López Fernández, J. L. (2021). Physica D: Nonlinear Phenomena Volume 426, 15 November 2021, 132989. https://doi.org/10.1016/j.physd.2021.132989 https://hdl.handle.net/10481/109429 10.1016/j.physd.2021.132989 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier