Lagrangian Approach to Dispersionless KdV Hierarchy
Exactly Solvable and Integrable Systems
2008-04-25 v3
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.
Cite
@article{arxiv.0706.0314,
title = {Lagrangian Approach to Dispersionless KdV Hierarchy},
author = {Amitava Choudhuri and B. Talukdar and U. Das},
journal= {arXiv preprint arXiv:0706.0314},
year = {2008}
}