Korteweg-de Vries hierarchy using the method of base equations |
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Authors: | Subhendu Chakrabarti J Pal B Talukdar |
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Institution: | (1) Department of Physics, Visva-Bharati University, 731 235 Santiniketan, India;(2) Department of Physics, Bolpur College, 731 204 Bolpur, India |
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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. |
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Keywords: | KdV hierarchy base-equations method |
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