Lagrangian Approach to Dispersionless KdV Hierarchy
Vernadsky National Library of Ukraine
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Title |
Lagrangian Approach to Dispersionless KdV Hierarchy
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Creator |
Choudhuri, A.
Talukdar, B. Das, U. |
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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.
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Date |
2019-02-13T19:02:20Z
2019-02-13T19:02:20Z 2007 |
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Type |
Article
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Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/147203 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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