Gardner's deformations of the Boussinesq equations
Exactly Solvable and Integrable Systems
2011-01-28 v2 Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.nlin/0603029,
title = {Gardner's deformations of the Boussinesq equations},
author = {Atalay Karasu and Arthemy V. Kiselev},
journal= {arXiv preprint arXiv:nlin/0603029},
year = {2011}
}
Comments
Proc. Workshop `Quantizaion, Dualities, and Integrable Systems,' 23-27 January 2006, Pamukkale University, Turkey; 7 pages. MSC 35Q53, 37K05, 37K10, 37K35