Soliton excitations in a three-spine alpha-helical protein chain with quintic non-linearity

S. Saravana Veni and M.M. Latha

Physica A: Statistical Mechanics and its Applications, 2014, vol. 396, issue C, 29-41

Abstract: We study the dynamics of a three-spine alpha-helical protein chain with quintic non-linearity. The dynamics is found to be governed by a perturbed three-coupled non-linear Schrödinger (NLS) equation. To investigate the solitonic aspects, we identify a completely integrable three-coupled cubic–quintic NLS equation by deriving the Lax pair of operators associated with it. In addition, we study the modulation instability aspects and obtain the conditions for soliton formation.

Keywords: Alpha-helical proteins; Soliton; Cubic–quintic non-linear Schrödinger equation (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:396:y:2014:i:c:p:29-41

DOI: 10.1016/j.physa.2013.08.027

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