The Super W_3 Conformal Algebra and the Boussinesq Hierarchy
solv-int
2009-10-22 v1 Exactly Solvable and Integrable Systems
Abstract
The bihamiltonian structure of the N=2 Supersymmetric Boussinesq equation is found. It is not reduced to the corresponding classical structure and hence it describes the pure supersymmetric effect. For the supersymmetric Boussinesq equation which contains the classical partner the Lax pair is given explicitely. Thus we prove the integrability of the equation.
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Cite
@article{arxiv.solv-int/9305001,
title = {The Super W_3 Conformal Algebra and the Boussinesq Hierarchy},
author = {Ziemowit Popowicz},
journal= {arXiv preprint arXiv:solv-int/9305001},
year = {2009}
}
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12 pages