From a generalized discrete NLS equation in discrete alpha helical proteins to the fourth-order NLS equation

Jun Yang, Miao-Shuang Fang, Lin Luo and Li-Yuan Ma

Chaos, Solitons & Fractals, 2021, vol. 153, issue P2

Abstract: In this paper, we consider a generalized integrable discrete nonlinear Schrödinger (NLS) equation, which can describe the dynamics of discrete alpha helical proteins with higher-order excitations and lead to the higher-order NLS equation in the continuum limit. The Darboux transformation (DT) and the soliton solutions of this generalized discrete NLS equation are implemented. It is shown that the integrable properties of the generalized discrete NLS equation, including the discrete Lax pair, the DT and the discrete soliton solutions, give rise to their continuous counterparts as the discrete space step tends to zero.

Keywords: Generalized discrete NLS equation; Darboux transformation; Soliton solutions; Continuum limit (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921009541

DOI: 10.1016/j.chaos.2021.111600

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