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This article is cited in 3 scientific papers (total in 3 papers)
Lagrangian Approach to Dispersionless KdV Hierarchy
Amitava Choudhuria, B. Talukdara, U. Dasb a Department of Physics, Visva-Bharati University, Santiniketan 731235, India
b Abhedananda Mahavidyalaya, Sainthia 731234, India
Abstract:
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.
Received: June 5, 2007; in final form September 16, 2007; Published online September 30, 2007
Citation:
Amitava Choudhuri, B. Talukdar, U. Das, “Lagrangian Approach to Dispersionless KdV Hierarchy”, SIGMA, 3 (2007), 096, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma222 https://www.mathnet.ru/eng/sigma/v3/p96
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Abstract page: | 199 | Full-text PDF : | 41 | References: | 30 |
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