田俊亮, 莫子杰, 陈浩. 线性磁场作用下修正的一维铁磁链孤立波[J]. 华南师范大学学报(自然科学版), 2018, 50(2): 20-24. doi: 10.6054/j.jscnun.2018046
引用本文: 田俊亮, 莫子杰, 陈浩. 线性磁场作用下修正的一维铁磁链孤立波[J]. 华南师范大学学报(自然科学版), 2018, 50(2): 20-24. doi: 10.6054/j.jscnun.2018046
TIAN J L, MO Z J, CHEN H. Solitary waves in modified one-dimensional Heisenberg ferromagnetic chain with linear magnetic field[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(2): 20-24. doi: 10.6054/j.jscnun.2018046
Citation: TIAN J L, MO Z J, CHEN H. Solitary waves in modified one-dimensional Heisenberg ferromagnetic chain with linear magnetic field[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(2): 20-24. doi: 10.6054/j.jscnun.2018046

线性磁场作用下修正的一维铁磁链孤立波

Solitary waves in modified one-dimensional Heisenberg ferromagnetic chain with linear magnetic field

  • 摘要: 在考虑修正的海森堡模型下,采用扩展行波法研究了在线性磁场作用下,一维铁磁连中的孤波解.结果表明,在将 的变换式展开到更高阶项(包括 项),各项同性的情况下也可求得包络孤子解,同时在增加了线性磁场后,孤子的运动模式发生了改变从一般的匀速运动变成了匀变速运动.并且发现当 趋近于零时,方程返回到只能在各向异性情况下求解的情况.

     

    Abstract: Using the modified Heisenberg model,the solitary wave solutions in 1D isotropic ferromagnetic chain with linear magnetic field have been derived. It is shown that due to high-order terms in the Holstein-Primakoff spin operator transformation(i.e. terms of order , and ,where is the spin )we can have a solitary wave solution even in an isotropic ferromagnetic chain. At the same time linear term of magnetic field has changes the motional mode from uniformly motion to uniformly variable motion. And we found that when tend to zero, the equation can return to the case of anisotropic ferromagnetic chain.

     

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