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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >A generalized Davydov model with interspine coupling and its integrable discretization
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A generalized Davydov model with interspine coupling and its integrable discretization

机译：脊柱耦合的广义Davydov模型及其可离散化。

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摘要

We propose a generalized model for the dynamics of alpha helical proteins by including excitations of dipole and quadrupole types, nearest and next nearest-neighbour interactions and interspine coupling at higher order. We investigate the dynamics in the continuum limit by identifying the underlying completely integrable model for specific parameters and study the solitonic aspects including Lax pair, soliton solutions, etc. We analyse the energy sharing properties between the spines during the propagation of solitons through them by constructing multi-soliton solutions to the resulting completely integrable three-coupled fourth-order nonlinear Schr?dinger equation. We identify the equivalent integrable higher-order discrete three-coupled equations through an appropriate generalization of the Lax pair of the original AblowitzLadik lattice. By means of systematic simulations, we study the nature of energy transfer in discrete alpha helical protein lattice.
机译：我们通过包括偶极子和四极子类型的激发，最近和下一个最近邻相互作用和高阶脊柱间耦合的激发，为α螺旋蛋白的动力学提出了一个通用模型。我们通过确定特定参数的潜在完全可整合模型来研究连续极限的动力学，并研究包括Lax对，孤子解等在内的孤子学方面。我们通过构造来分析孤子在通过它们的传播过程中棘之间的能量共享特性。最终可完全积分的三耦合四阶非线性Schrdinger方程的多重孤子解。通过适当地概括原始AblowitzLadik晶格的Lax对，我们确定了等效的可积分高阶离散三耦合方程。通过系统的仿真，我们研究了离散的α螺旋蛋白晶格中能量转移的性质。

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