On the classification of fifth-order integrable systems

Abstract

In this work we classify the fifth-order integrable symmetrically coup led systems of weight 0 that possess seventh-order symmetry. we obtained 2 new integrable systems that related bi-Hamiltonian formulations are constructed too.

This work updated with arXiv:1608.05125

References in corpus (3)

• Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I
• On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators
• A fifth-order bi-Hamiltonian system

Cited by in corpus (1)

• Third Order Integrable Equation Possessing Symplectic Operator Of Degree 9