@misc{10481/112639,
year = {2026},
month = {4},
url = {https://hdl.handle.net/10481/112639},
abstract = {The standard parabolic-parabolic Keller-Segel model of chemotaxis, along
with some of its most well-known variants, e.g. those including a logistic growth
term or a logarithmic sensitivity function in the cell equation, are shown to come
up as the hydrodynamic systems describing the evolution of the modulus square
n(t, x) and the argument S(t, x) of a complex wavefunction ψ =
√
neiS that solves a
cubic Schrödinger equation with focusing interaction, frictional Kostin nonlinearity
and Doebner-Goldin dissipation mechanism. This connection is then exploited to
construct some important families of traveling-wave solutions.},
publisher = {Springer},
title = {On traveling waves of generalized chemotaxis models of Keller-Segel type inspired in Doebner-Goldin theory},
author = {López Fernández, José Luis},
}