Simple Lax Description of the ILW Hierarchy

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Buryak, A., Rossi, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209837
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Simple Lax Description of the ILW Hierarchy / A. Buryak, P. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 10 назв. — англ.

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 structu...