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Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems

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 نشر من قبل Edwin Langmann
 تاريخ النشر 2020
  مجال البحث فيزياء
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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.



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