Integrability and soliton in a classical one-dimensional site-dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity
Integrability and soliton in a classical one-dimensional site-dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity
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DOI：
10.1088/0305-4470/36/42/005
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发表时间：
2003-10
期刊：
影响因子：
--
通讯作者：
L. Kavitha;M. Daniel
中科院分区：
文献类型：
--
作者：
L. Kavitha;M. Daniel
研究了一维经典连续非均匀四次海森堡自旋链的可积性以及非线性非均匀性对完全可积自旋模型孤子的影响。自旋系统的动力学表示在一个高阶广义非线性薛定谔方程通过微分几何方法，成为可积的一个特定的选择的双二次交换相互作用和线性不均匀性。通过多尺度微扰分析，研究了非线性不均匀性对自旋孤子的影响。
The integrability of one-dimensional classical continuum inhomogeneous biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity on the soliton of an underlying completely integrable spin model are studied. The dynamics of the spin system is expressed in terms of a higher order generalized nonlinear Schrödinger equation through a differential geometric approach which becomes integrable for a particular choice of the biquadratic exchange interaction and for linear inhomogeneity. The effect of nonlinear inhomogeneity on the spin soliton is studied by carrying out a multiple scale perturbation analysis.