Virasoro Symmetry Algebra of Dirac Soliton Hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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8 pages, latex, to appear in Inverse Problems

Scientific paper

A hierarchy of first-degree time-dependent symmetries is proposed for Dirac
soliton hierarchy and their commutator relations with time-dependent symmetries
are exhibited. Meantime, a hereditary structure of Dirac soliton hierarchy is
elucidated and a Lax operator algebra associated with Virasoro symmetry algebra
is given.

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