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Soliton Structures in a Molecular Chain Model with Saturation

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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 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.

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Authors and Affiliations

  1. Facultad de Ciencias, Universidad Autonoma del Estado de Mexico, Instituto Literario 100 Toluca, Edo. Mex., 50000, Mexico

    M. Aguero & J. Socorro

  2. Centro de Investigacion en Ciencia Aplicada y Tecnologia Avanzada del IPN, Av. Legaria 694, Col. Irrigacion, Legaria, 11500, D.F. Mexico, Mexico

    R. García-Salcedo

  3. Instituto de Física, Universidad de Guanajuato, A.P. E-143, C.P. 37150, León, Guanajuato, Mexico

    J. Socorro

  4. Facultad de Medicina y de Ciencias, Universidad Autonoma del Estado de Mexico, Instituto Literario 100 Toluca, Edo. Mex., 50000, Mexico

    E. Villagran

Authors
  1. M. Aguero
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  2. R. García-Salcedo
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  3. J. Socorro
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  4. E. Villagran
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Correspondence to R. García-Salcedo.

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Aguero, M., García-Salcedo, R., Socorro, J. et al. Soliton Structures in a Molecular Chain Model with Saturation. Int J Theor Phys 48, 670–683 (2009). https://doi.org/10.1007/s10773-008-9842-7

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  • DOI: https://doi.org/10.1007/s10773-008-9842-7

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