Simple Lax Description of the ILW Hierarchy

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2018
• Hauptverfasser: Buryak, A., Rossi, P.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209837
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...