Geodesic
Simple Lax Description of the ILW Hierarchy
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: intermediate long wave hierarchy; ILW; Lax representation; integrable systems; Hamiltonian. 
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     author = {Alexandr Buryak and Paolo Rossi},
     title = {Simple {Lax} {Description} of the {ILW} {Hierarchy}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a119/}
}
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Alexandr Buryak; Paolo Rossi. Simple Lax Description of the ILW Hierarchy. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a119/

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