Symmetry Reductions of Second Heavenly Equation and 2+1-Dimensional Hamiltonian Integrable Systems

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+1­dimensional 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/).

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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  -