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

In this paper, we consider a generalized integrable discrete nonlinear Schrodinger (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. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates a generalized integrable discrete nonlinear Schrodinger equation, analyzing the Darboux transformation and soliton solutions. It demonstrates that the integrable properties of the generalized discrete NLS equation lead to their continuous counterparts as the discrete space step approaches zero.