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Geometrical Aspects of Integrability in Nonlinear Realization Scheme

R. P. Malik
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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 $W_{3}$ 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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R. P. Malik. 2002-06-12. Geometrical Aspects of Integrability in Nonlinear Realization Scheme. https://arxiv.org/abs/nlin/0004009

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