论文标题
普遍的海森贝格铁磁性方程和修改的camassa-holm方程：几何配方，孤子溶液和等效性
Generalized Heisenberg Ferromagnet type Equation and Modified Camassa-Holm Equation: Geometric Formulation, Soliton Solutions and Equivalence
论文作者
论文摘要
我们研究了广义的海森堡铁磁体型方程（GHFE）的一般性和等效性。提出了该方程式的不同形式及其还原。获得方程的宽松表示（LR）。我们观察到，GHFE的几何和量规等效物是具有任意参数$κ$的改良Camassa-Holm方程（MCHE）。最后，获得了GHFE的1-氧化溶液。
We study the integrability and equivalence of a generalized Heisenberg ferromagnet-type equation (GHFE). The different forms of this equation as well as its reduction are presented. The Lax representation (LR) of the equation is obtained. We observe that the geometrical and gauge equivalent counterpart of the GHFE is the modified Camassa-Holm equation (mCHE) with an arbitrary parameter $κ$. Finally, the 1-soliton solution of the GHFE is obtained.
