Gardner's deformations of the Boussinesq equations

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2006-09-15

Author

Karasu, Atalay

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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.

Subject Keywords

Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/44019

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

DOI

https://doi.org/10.1088/0305-4470/39/37/008

Collections

Department of Physics, Article

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Citation Formats

A. Karasu, “Gardner’s deformations of the Boussinesq equations,” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, pp. 11453–11460, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44019.