SUBHENDU CHAKRABARTI ¹, J PAL² and B TALUKDAR¹

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

Abstract.

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.

Keywords:  KdV hierarchy; base-equations method.

Pacs Nos.  03.50.-z, 05.45.Yv