论文标题
狭窄的量子厅系统中的非手续中间长波方程和间边缘效应
Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
论文作者
论文摘要
我们提出了中间长波（ILW）方程的非手续版本，该方程可以在量子霍尔系统的两个相对边缘上建模在量子室系统的两个相对边缘上进行建模。我们获得了由双曲线Calogero-Moser-Sutherland（CMS）模型控制的精确孤子溶液，并给出了该新方程的Lax Pair，Hirota形式和保护定律。我们还提出了一个定期的非手续ILW方程，并及其由椭圆CMS模型控制的孤子溶液。
We present a non-chiral version of the Intermediate Long Wave (ILW) equation that can model nonlinear waves propagating on two opposite edges of a quantum Hall system, taking into account inter-edge interactions. We obtain exact soliton solutions governed by the hyperbolic Calogero-Moser-Sutherland (CMS) model, and we give a Lax pair, a Hirota form, and conservation laws for this new equation. We also present a periodic non-chiral ILW equation, together with its soliton solutions governed by the elliptic CMS model.
