Classic and Non-Classic Soliton Like Structures for Traveling Nerve Pulses

Fidel Contreras, Hilda Cervantes, Máximo Aguero, Ma. de Lourdes Najera

Facultad de Ciencias, Universidad Autónoma del Estado de México, Toluca de Lerdo, México.
Plantel Nezahualcoyotl, Universidad Autónoma del Estado de México, Toluca de Lerdo, México.

DOI: 10.4236/ijmnta.2013.21002                

Abstract

After some reduction procedure made on the nonlinear evolution equation for nerve pulses, based on thermodynamic principles, new classic and non-classic traveling solutions have been obtained. We have studied this model for particular values in the parameter space, and obtained both the bell and compacton like solutions. These nonlinear traveling waves could be responsible for transmitting efficiently the necessary information along the axons. The non-classic structures named as compactons, due to their robust configuration, could be considered in some sense a more realistic type of nonlinear chargers of information. The last solutions do not have tails and as adiabatic waves could propagate along the nerve with constant velocity that could be equal, smaller or higher than the sound velocity.

Keywords

Compactons; Nonlinear Waves; Solitons; Nerve Pulse; Molecular Waves

Conflicts of Interest

The authors declare no conflicts of interest.

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