Symmetries of a (2+1)-dimensional breaking soliton equation

Symmetries of a (2+1)-dimensional breaking soliton equation
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DOI:
10.1088/0305-4470/26/24/021
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发表时间:
1993-12
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
Yi-shen Li;You-jin Zhang
Yi-shen Li;You-jin Zhang
中科院分区:
其他
文献类型:
--
作者:
Yi-shen Li;You-jin Zhang

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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.