Geometrical Aspects of Integrability in Nonlinear Realization Scheme

Details Geometrical Aspects of Integrability in Nonlinear Realization Scheme Geometrical Aspects of Integrability in Nonlinear Realization Scheme

2000-04-06

arxiv.org/abs/nlin/0004009v3

Non-Linear Dynamical Systems--Proc. of conference on ``Dynamical Systems: Recent Developments'' (4-6 November 1999), held at U

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 10 pages

Scientific paper

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 $W_{3}$ 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.

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