论文标题
本杰明·诺克方程的自旋概括
Spin generalizations of the Benjamin-Ono equation
论文作者
论文摘要
我们介绍了与Gibbons和Hermsen引入的$ type旋转Calogero-Moser（CM）系统相关的新型Soliton方程。这些方程是Benjamin-Ono（BO）方程的自旋概括，以及最近引入的非手续中间长波（NCILW）方程。我们通过自旋螺旋ansatz获得了BO方程和NCILW方程的这些自旋概括的多螺旋溶液，其中旋转杆动力学分别受自旋CM系统在有理和双曲的情况下的控制。我们还提出了新方程的物理应用，并引入了标准中间长波方程的自旋概括，该方程在矩阵Korteweg-de Vries方程，Heisenberg Ferromagnet方程和旋转BO方程之间进行了插值。
We present new soliton equations related to the $A$-type spin Calogero-Moser (CM) systems introduced by Gibbons and Hermsen. These equations are spin generalizations of the Benjamin-Ono (BO) equation and the recently introduced non-chiral intermediate long-wave (ncILW) equation. We obtain multi-soliton solutions of these spin generalizations of the BO equation and the ncILW equation via a spin-pole ansatz where the spin-pole dynamics is governed by the spin CM system in the rational and hyperbolic cases, respectively. We also propose physics applications of the new equations, and we introduce a spin generalization of the standard intermediate long-wave equation which interpolates between the matrix Korteweg-de Vries equation, the Heisenberg ferromagnet equation, and the spin BO equation.
