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Geometrical Aspects of Integrability in Nonlinear Realization Scheme

Exactly Solvable and Integrable Systems 2007-05-23 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We discuss the integrability properties of the Boussinesq equations in the language of geometrical quantities defined on an appropriately chosen coset manifold connected with the W3W_{3} algebra of Zamolodchikov. We provide a geometrical interpretation to the commuting conserved quantities, Lax-pair formulation, zero-curvature representation, Miura maps, etc. in the framework of nonlinear realization method.

Keywords

Cite

@article{arxiv.nlin/0004009,
  title  = {Geometrical Aspects of Integrability in Nonlinear Realization Scheme},
  author = {R. P. Malik},
  journal= {arXiv preprint arXiv:nlin/0004009},
  year   = {2007}
}

Comments

LaTeX, 10 pages