Volume 15, Issue supplement 3, October 2008, Pages 417 - 425
Symmetry Reductions of Second Heavenly Equation and 2+1-Dimensional Hamiltonian Integrable Systems
Authors
D. Yazici, M. B. Sheftel
Corresponding Author
D. Yazici
Available Online 1 October 2008.
- DOI
- 10.2991/jnmp.2008.15.s3.40How to use a DOI?
- Abstract
Second heavenly equation of Pleba~nski, presented in a two-component form, is known to be a 3 +1 dimensional multi-Hamiltonian integrable system. We show that one symmetry reduction of this equation yields a two component 2+1Âdimensional multi-Hamiltonian integrable system. For this system, we present Hamiltonian and recursion operators, point symmetries and integrals of motion. For another symmetry reduction, the reduced system is "almost biHamiltonian", with two known Hamiltonian operators but the second Hamiltonian density missing.
- Copyright
- © 2008, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - D. Yazici AU - M. B. Sheftel PY - 2008 DA - 2008/10/01 TI - Symmetry Reductions of Second Heavenly Equation and 2+1-Dimensional Hamiltonian Integrable Systems JO - Journal of Nonlinear Mathematical Physics SP - 417 EP - 425 VL - 15 IS - supplement 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.s3.40 DO - 10.2991/jnmp.2008.15.s3.40 ID - Yazici2008 ER -