Lagrangian Approach to Dispersionless KdV Hierarchy

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Choudhuri, A., Talukdar, B., Das, U.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147203
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lagrangian Approach to Dispersionless KdV Hierarchy / A. Choudhuri, B. Talukdar, U. Das // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 17 назв. — англ.

We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement of the so-called r-matrix method. We suggest specific ways to construct resu...