A Lax Operator Hierarchy for the New Fifth Order Integrable System


Department of Engineering Physics, Ankara University 06100 Tandogan, Ankara, Turkey


We consider the Lax representation of the new two-component coupled integrable system recently discovered by the author. Connection of the hierarchy of infinitely many Lax pairs with each other is presented.


1. F. Calogero and M.C. Nucci, Lax pairs galore, J. Math. Phys., 32, 72-74 (1991). 2. P.D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math., 21, 467-490 (1968).
3. D. Talati, A _fth-order bi-Hamiltonian system. arXiv preprint arXiv:1304.1987 (2013).