Lagrangian Approach to Dispersionless KdV Hierarchy
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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2007 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147203 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706486534209536 |
|---|---|
| author | Choudhuri, A. Talukdar, B. Das, U. |
| author_facet | Choudhuri, A. Talukdar, B. Das, U. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 results for conserved densities and Hamiltonian operators. The Lagrangian formulation, via Noether's theorem, provides a method to make the relation between symmetries and conserved quantities more precise. We have exploited this fact to study the variational symmetries of the dispersionless KdV equation.
|
| first_indexed | 2025-12-07T16:59:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147203 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:59:33Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Choudhuri, A. Talukdar, B. Das, U. 2019-02-13T19:02:20Z 2019-02-13T19:02:20Z 2007 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. 1815-0659 2000 Mathematics Subject Classification: 35A15; 37K05; 37K10 https://nasplib.isofts.kiev.ua/handle/123456789/147203 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 results for conserved densities and Hamiltonian operators. The Lagrangian formulation, via Noether's theorem, provides a method to make the relation between symmetries and conserved quantities more precise. We have exploited this fact to study the variational symmetries of the dispersionless KdV equation. This work is supported by the University Grants Commission, Government of India, through grant No. F.32-39/2006(SR). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Lagrangian Approach to Dispersionless KdV Hierarchy Article published earlier |
| spellingShingle | Lagrangian Approach to Dispersionless KdV Hierarchy Choudhuri, A. Talukdar, B. Das, U. |
| title | Lagrangian Approach to Dispersionless KdV Hierarchy |
| title_full | Lagrangian Approach to Dispersionless KdV Hierarchy |
| title_fullStr | Lagrangian Approach to Dispersionless KdV Hierarchy |
| title_full_unstemmed | Lagrangian Approach to Dispersionless KdV Hierarchy |
| title_short | Lagrangian Approach to Dispersionless KdV Hierarchy |
| title_sort | lagrangian approach to dispersionless kdv hierarchy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147203 |
| work_keys_str_mv | AT choudhuria lagrangianapproachtodispersionlesskdvhierarchy AT talukdarb lagrangianapproachtodispersionlesskdvhierarchy AT dasu lagrangianapproachtodispersionlesskdvhierarchy |