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Turkish Journal of Physics

Authors

DEVRİM YAZICI

DOI

10.3906/fiz-1710-5

Abstract

The first heavenly equation of Plebanski in the two-component form is known to be a $3+1$-dimensional tri-Hamiltonian system. We show that a particular choice of symmetry reduction applied to the first heavenly equation yields a $2+1$-dimensional bi-Hamiltonian system. For this tri-dimensional system, we present Lagrangian, Hamiltonian, and recursion operators; point symmetries; and integrals of motions.

First Page

183

Last Page

190

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