连续经典Haldane-Shastry自旋链中的孤子
Solitons in a continuous classical Haldane-Shastry spin chain
摘要：
受Polychronakos发现孤立子存在于Calogero模型的连续版本的流体动力学方程中的启发，我们在Haldane-Shastry自旋链的连续版本的经典动力学中寻找孤立子。我们得到了自旋场方程的解析多块孤立波解，这些解具有有趣的拓扑特征。我们已经进行了数值碰撞实验表明，这些孤立波生存的碰撞，从而表明真正的多孤子解决方案的存在。
英文摘要：
Motivated by Polychronakos' discovery that solitons exist in the hydrodynamic equations of continuum version of the Calogero model, we seek solitons in the classical dynamics of a continuum version of the Haldane-Shastry spin chain. We have obtained analytic multi-lump solitary wave solutions for our spin-field equation, and these solutions possess interesting topological features. We have performed numerical collision experiments showing that these solitary waves survive collisions, and thus suggest the existence of true multi-soliton solutions.
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