Buryak, A and Rossi, P
(2018)
Simple Lax Description of the ILW Hierarchy.
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 14.
120.
ISSN 1815-0659
Abstract
In this note we present a simple Lax description of the hierarchy of the intermediate long wave equation (ILW hierarchy). Although the linear inverse scattering problem for the ILW equation itself was well known, here we give an explicit expression for all higher flows and their Hamiltonian structure in terms of a single Lax difference-differential operator.
Metadata
Item Type:
Article
Authors/Creators:
Buryak, A
Rossi, P
Copyright, Publisher and Additional Information:
The authors retain the copyright for their papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License. To view a copy of this license, visit https://creativecommons.org/licenses/by-sa/4.0/.
Keywords:
intermediate long wave hierarchy; ILW; Lax representation; integrable systems; Hamiltonian
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