Abstract
The aim of this review is to consider about how the study of solitary waves will become to correlate with biophysical researches. In the first half, in order to provide a simple mathematical foundation for the solitary wave solutions, we present a list of soliton-bearing nonlinear wave equations and describe briefly some fundamental properties of soliton solutions. In the latter half, in order to show the possibility that the solitary excitations in biopolymers play important roles to realize the biological functions proper to these biopolymers, we introduce some recent works on the solitary excitations in the α-helical protein, in the proton channel in purple membrane and in the polynucleotide double helices.
