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Lagrangian Approach to Dispersionless KdV Hierarchy
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік
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Lagrangian Approach to Dispersionless KdV Hierarchy
Інший ID:
2000 Mathematics Subject Classification: 35A15; 37K05; 37K10
Посилання:
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.
Підтримка:
This work is supported by the University Grants Commission, Government of India, through grant No. F.32-39/2006(SR).
Дата:
2007
Переглядів:
860
Завантажень:
246
Анотація:
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.
