Gardner's deformations of the Boussinesq equations


Creative Commons License

Karasu A. , Kiselev A. V.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, ss.11453-11460, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 37
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0305-4470/39/37/008
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.11453-11460

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.