Geodesic
Lagrangian Approach to Dispersionless KdV Hierarchy
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: hierarchy of dispersionless KdV equations; Lagrangian approach; bi-Hamiltonian structure; variational symmetry. 
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     title = {Lagrangian {Approach} to {Dispersionless} {KdV} {Hierarchy}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a95/}
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Amitava Choudhuri; B. Talukdar; U. Das. Lagrangian Approach to Dispersionless KdV Hierarchy. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a95/

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