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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 120, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.120 (Mi sigma1419) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Simple Lax Description of the ILW Hierarchy

Alexandr Buryaka, Paolo Rossib

a School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK
b Dipartimento di Matematica ''Tullio Levi-Civita'', Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy
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DOI: https://doi.org/10.3842/SIGMA.2018.120
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.
Keywords: intermediate long wave hierarchy; ILW; Lax representation; integrable systems; Hamiltonian.
Funding agency Grant number
Russian Science Foundation 16-11-10260
The work of the first author (Theorem 1, parts 1 and 3) was supported by the grant no. 16-11-10260 of the Russian Science Foundation.
Received: September 7, 2018; in final form November 6, 2018; Published online November 10, 2018
Bibliographic databases:
Document Type: Article
MSC: 37K10
Language: English
Citation: Alexandr Buryak, Paolo Rossi, “Simple Lax Description of the ILW Hierarchy”, SIGMA, 14 (2018), 120, 7 pp.
Citation in format AMSBIB
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\paper Simple Lax Description of the ILW Hierarchy
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    • This publication is cited in the following 5 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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