Time-Dependent Symmetries of Variable-Coefficient Evolution Equations and Graded Lie Algebras
نویسندگان
چکیده
Polynomial-in-time dependent symmetries are analysed for polynomial-in-time dependent evolution equations. Graded Lie algebras, especially Virasoro algebras, are used to construct nonlinear variable-coefficient evolution equations, both in 1+1 dimensions and in 2+1 dimensions, which possess higher-degree polynomial-in-time dependent symmetries. The theory also provides a kind of new realisation of graded Lie algebras. Some illustrative examples are given.
منابع مشابه
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تاریخ انتشار 2004