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Matrix factorization; Hamiltonian structure; derivative non-linear Schrödinger equation

We demonstrate that the process of matrix factorization provides a systematic mathematical method to investigate the Hamiltonian structure of non-linear evolution equations characterized by hereditary operators with Nijenhuis property.

S Ghosh¹ B Talukdar¹ S Chakraborti²

1. Department of Physics, Visva-Bharati University, Santiniketan - 731 235, India
2. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400 005, India

Published

July 2003

Manuscript received

29 October 2002

Manuscript revised

4 March 2003

Accepted

1 April 2003