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Infinitely many symmetries for a (2+1)-dimensional breaking soliton equation are constructed via the infinitesimal version of the 'dressing' method. These symmetries are proved to constitute an infinite-dimensional Lie algebra which contains some Abelian and Virasoro subalgebras. The hierarchies of equations generated by these symmetries are also considered: these hierarchies of equations are proved to be associated with the isospectral and non-isospectral deformations of the AKNS spectral problem.
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Li et al. (1993) studied this question.
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