On the hamiltonian formulation of an octonionic integrable extension for the Korteweg-de Vries equation

Abstract

We present in this work the hamiltonian formulation of an octonionic extension for the Korteweg-de Vries equation. The formulation takes into account the non commmutativity and non associativity of the implicit algebra which defines the equation. We also analize the Poisson structure of the hamiltonian formulation. We propose a parametric master Lagrangian which contains the two hamiltonian structures of the integrable octonionic equation.

Contribution to the Proceedings of the 8th International Conference on Mathematical Modeling in Physical Sciences (August 26-29, 2019, Bratislava, Slovakia). To be published in Journal of Physics: Conference Series, 8 pages