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The τ -symmetries and Lie algebra structure of the Blaszak-Marciniak lattice equation
  • Jian-bing Zhang,
  • Qi Chen
Jian-bing Zhang
Jiangsu Normal University

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Qi Chen
Jiangsu Normal University
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Abstract

A general approach is developed for discriminating strong and hereditary symmetric operators. The recursion operator of the Blaszak-Marciniak (BM) equation hierarchy is proved to be strong and hereditary symmetric. As an example of discrete soliton equations related to 3×3 matrix spectral problems, the τ-symmetries and Lie algebra structure of the BM equation are built firstly.