Gardner's deformations of the Boussinesq equations

Details Gardner's deformations of the Boussinesq equations Gardner's deformations of the Boussinesq equations

2006-03-13

arxiv.org/abs/nlin/0603029v2

J.Phys.A39:11453-11460,2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Proc. Workshop `Quantizaion, Dualities, and Integrable Systems,' 23-27 January 2006, Pamukkale University, Turkey; 7 pages. MS

Scientific paper

10.1088/0305-4470/39/37/008

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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