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KdV hierarchy; base-equations method

A base-equation method is implemented to realize the hereditary algebra of the Korteweg-de Vries (KdV) hierarchy and the N-soliton manifold is reconstructed. The novelty of our approach is that, it can in a rather natural way, predict other nonlinear evolution equations which admit local conservation laws. Significantly enough, base functions themselves are found to provide a basis to regard the KdV-like equations as higher order degenerate bi-Lagrangian systems.

Subhendu Chakrabarti¹ J Pal² B Talukdar¹

1. Department of Physics, Visva-Bharati University, Santiniketan - 731 235, India
2. Department of Physics, Bolpur College, Bolpur - 731 204, India

Published

March 2002

Manuscript received

4 February 2001

Accepted

4 July 2001