TY - JOUR T1 - An Algebraic Approach for Extending Hamiltonian Operators AU - Tu Guizhang, Ma Wenxiu JO - Journal of Partial Differential Equations VL - 1 SP - 43 EP - 56 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5728.html KW - Matrix differential operator KW - Lie algebra KW - Hamiltonian operator AB - An algebraic approach for extending Hamiltonian operators is proposed. A relevant sufficient condition for generating new Lie algebras from known ones is presented. Some special cases are discussed and several illustrative examples are given.