Gardner's deformations of the Boussinesq equations


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Karasu A., Kiselev A. V.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, sa.37, ss.11453-11460, 2006 (SCI-Expanded) identifier identifier

Özet

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