arXiv subjects

Alexander I. Kozlov

Publications and source records attributed to Alexander I. Kozlov.

2 recordsLinked to original sources

arXiv2026

On the Role of Dispersion in One Model of Propagation of Elastic Excitations in Nerves

The nonlinear differential equation, which describes changes of membrane's density in the process of propagation of active potential along a nerve, has been studied. Depending on values of dispersion terms of that equation, forms and possible existence of exact periodic and solitary solutions were considered.

physics.bio-ph↗

arXiv2023

Symmetries and invariant solutions of the wave equation for shear disturbances in soft solids

The Lie-group approach was applied to determine symmetries of the third-order non-linear equation formulated for description of shear elastic disturbances in soft solids. Invariant solutions to this equation are derived and it turned out that they could represent outgoing or incoming exponentially decaying or unbounded disturbances.

cond-mat.soft↗