Soliton structures in a molecular chain model with saturation
Pattern Formation and Solitons
2009-05-30 v2
Abstract
In the present work, we study, by means of a one-dimensional lattice model, the collective excitations corresponding to intra molecular ones of a chain like proteins. It is shown that such excitations are described by the Nonlinear Schrodinger equation with saturation. The solutions obtained here are the bell solitons, bubbles, kinks and crowdons. Since they belong to different sectors on the parametric space, the bubble condensation could give place to some important changes of face in this kind of nonlinear system. Additionally, it is shown that the limiting velocity of the solitons is the velocity of sound waves corresponding to longitudinal vibrations of molecules.
Cite
@article{arxiv.0804.0222,
title = {Soliton structures in a molecular chain model with saturation},
author = {E. Villagran and J. Socorro and Ricardo Garcia-Salcedo and M. Aguero},
journal= {arXiv preprint arXiv:0804.0222},
year = {2009}
}
Comments
12 pages, 4 figures