Title

Controlled complexity in pulse conduction: Traveling solitons from neural to optical fibers.

Authors

Ivancevic, Vladimir G.; Reid, Darryn J.

Abstract

We review and analyze models of controlled complexity in nonlinear pulse conduction, ranging from the Hodgkin-Huxley action potentials propagating along neural fibers to rogue waves in optical fibers. The novel model proposed is an alternative to the Hodgkin-Huxley neural model in the form of the sine-Gordon wave equation. This new alternative explains pulse conduction in terms of general wave phenomena (such as kinks, solitons and breathers).

Subjects

ACTION potentials; WAVE equation; OPTICAL fibers; SINE-Gordon equation; SOLITONS; THEORY of wave motion; BIOPHYSICS

Publication

Mathematics in Engineering, Science & Aerospace (MESA), 2014, Vol 5, Issue 1, p17

ISSN

2041-3165

Publication type

Academic Journal