Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner-Goldin theory: existence of solitary waves

DOI10.1016/j.physd.2021.132989zbMath1484.35119OpenAlexW3182987607MaRDI QIDQ2077584

Miguel A. Alejo, José Luis López

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.132989

zbMATH Keywords

solitary waveschemotaxisKeller-Segel systemDoebner-Goldin equationscompactly supported solitonsexponential traveling wave profilessech-type solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (2)

On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation ⋮ A repertoire of repulsive Keller–Segel models with logarithmic sensitivity: Derivation, traveling waves, and quasi‐stationary dynamics

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