Simple Lax Description of the ILW Hierarchy

Symmetry Integrability and Geometry-Methods and Applications

article

Alexandr Buryak¹  Paolo Rossi² 

[1] School of Mathematics, University of Leeds;Dipartimento di Matematica ''Tullio Levi-Civita'', Università degli Studi di Padova

关键词: intermediate long wave hierarchy;    ILW;    Lax representation;    integrable systems;    Hamiltonian;   

DOI  :  10.3842/SIGMA.2018.120

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown