TY - JOUR
T1 - Soliton structures in a molecular chain model with saturation
AU - Aguero, M.
AU - García-Salcedo, R.
AU - Socorro, J.
AU - Villagran, E.
N1 - Funding Information:
Acknowledgements We are grateful to Prof. Makhankov for valuable discussions. This work was partially supported by CONACYT 61401 Research Project and the PROMEP grant for supporting research groups and carried out in part during the MAG visit to San Diego State University. RGS acknowledges to the IPN by COFAA and EDI grants and the partial support through the project SIP-20080759.
PY - 2009/3
Y1 - 2009/3
N2 - 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 Schrödinger 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 rise to some important changes of phase in this 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.
AB - 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 Schrödinger 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 rise to some important changes of phase in this 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.
KW - DNA
KW - Solitons
UR - http://www.scopus.com/inward/record.url?scp=60949110484&partnerID=8YFLogxK
U2 - 10.1007/s10773-008-9842-7
DO - 10.1007/s10773-008-9842-7
M3 - Artículo
SN - 0020-7748
VL - 48
SP - 670
EP - 683
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 3
ER -