In this article, within the framework of the method of differential constraints, we develop a reduction procedure aimed at determining exact solutions to a first order hyperbolic system which describes nerve pulse propagation. In fact, we look for particular double wave solutions and we reduce the integration of the full system to that of a suitable 2 x 2 sub-system. The solutions we obtain are determined in terms of arbitrary functions.
Double wave solutions for a hyperbolic model describing nerve fiber
Manganaro N.
Primo
;Rizzo A.Secondo
2024-01-01
Abstract
In this article, within the framework of the method of differential constraints, we develop a reduction procedure aimed at determining exact solutions to a first order hyperbolic system which describes nerve pulse propagation. In fact, we look for particular double wave solutions and we reduce the integration of the full system to that of a suitable 2 x 2 sub-system. The solutions we obtain are determined in terms of arbitrary functions.File in questo prodotto:
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