An Algebraic Approach for Extending Hamiltonian Operators

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Abstract

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.

Keywords:

Matrix differential operator; Lie algebra; Hamiltonian operator
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An Algebraic Approach for Extending Hamiltonian Operators. (1992). Journal of Partial Differential Equations, 5(1), 43-56. https://www.global-sci.com/index.php/jpde/article/view/3702