Third Order Integrable Equation Possessing Symplectic Operator Of Degree 9
Exactly Solvable and Integrable Systems
2014-04-22 v2
Abstract
We perform a classification of third order integrable systems of evolution equations with respect to higher symmetries. Applying it, we consider polynomial systems that are 0-homogeneous under a suitable weighting of variables with main matrix having a seventh-order symmetry. A new integrable equation is discovered. For this new supersymmetric equation the Lax representation and bi-Hamiltonian structures are given.
Cite
@article{arxiv.1309.2893,
title = {Third Order Integrable Equation Possessing Symplectic Operator Of Degree 9},
author = {Daryoush Talati},
journal= {arXiv preprint arXiv:1309.2893},
year = {2014}
}
Comments
16 pages