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Gardner's deformations of the Boussinesq equations
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Date
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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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.