Third Order Integrable Equation Possessing Symplectic Operator Of Degree 9

2013/09/11 by Daryoush Talati, Talati, Daryoush
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1309.2893

openalex publication_date 2013/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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