A Lax Operator Hierarchy for the New Fifth Order Integrable System

Author

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

Abstract

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.

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References

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).
Global Analysis and Discrete Mathematics
Volume 1, Issue 2 - Serial Number 2
November 2016
Pages 79-82

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History

  • Receive Date: 21 July 2015
  • Revise Date: 15 November 2015
  • Accept Date: 04 December 2015

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