New kink-type solution of the equation for artificial axon
https://doi.org/10.29235/1561-2430-2024-60-1-29-33
Abstract
In the paper a (1 + 1)-dimension equation of motion for the artificial axon is considered. The artificial axon is a dynamical structure like a neuron. They are widely used in biophysics, for example, in studying the physiological processes. A topological non-trivial solution of one-kink type for this equation is constructed in an analytical form. The modified direct Hirota method for solving the nonlinear partial derivatives equations is applied. The special cases are considered for different voltages on the contacts of axon.
About the Authors
M. A. Knyazev
Belarusian National Technical University
Belarus
Belarus
Michael A. Knyazev – Dr. Sc. (Physics and Mathematics), Head of the Department of Engineering Mathematics
65, Nezavisimosti Ave., 220013, Minsk
Т. A. Klimovich
Belarusian National Technical University
Belarus
Belarus
Tatyana A. Klimovich – Master’s Degree Student of the Department of Engineering Mathematics
65, Nezavisimosti Ave., 220013, Minsk
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