Characteristics of Coupled Solitary Waves in Nerve Impulse Transmission with Dissipation

Solitary wave is a traveling wave of pulse shape and can travel long distances with little loss of energy or structure. In this letter, characteristics of solitary waves in nerve impulse transmission with high speed are studied. Nonlinear coupling of solitary waves in the presence of dissipation of neurotransmitter is considered in the framework of the coupled nonlinear Schrodinger equations. Interaction between the coupled solitary waves in the different and same position is analyzed; the influence of dissipation on the interaction is investigated; the transmission property for the uncoupled nerve impulses is discussed briefly. Research shows that the principle of solitary wave can explain some transmission features of nerve impulse and may provide certain theory reference and model for applying solitary wave to the deep exploration into nerve impulse transmission.