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Gardner's deformations of the Boussinesq equations

Atalay Karasu·Arthemy V. Kiselev
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Abstract

Using the algebraic method of Gardner's deformations for completely integrable systems, we construct the recurrence relations for densities of the Hamiltonians for the Boussinesq and the Kaup-Boussinesq equations. By extending the Magri schemes for these systems, we obtain new integrable equations adjoint with respect to the initial ones and describe their Hamiltonian structures and symmetry properties.

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Atalay Karasu, Arthemy V. Kiselev. 2006-04-08. Gardner's deformations of the Boussinesq equations. https://doi.org/10.1088/0305-4470%2F39%2F37%2F008

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