On Integrability of Evolution Equations and Representation Theory
نویسندگان
چکیده
In this paper we observe that the existence of an sl(2,R) can help us in organizing the analysis and computation of time-dependent symmetries of nonlinear evolution equations. We apply this idea to the Burgers and Ibragimov–Shabat equations. We then use sl(2,R) to compute their Bäcklund transformations. This leads to unexpected consequences for the Kadomtsev–Petviashvili equation: we show that the Jacobi identity does not hold, due to nonlocal terms in the equation. Nevertheless we are able to compute time–dependent symmetries for this equation too.
منابع مشابه
Differential polynomials and symbolic representation
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تاریخ انتشار 2007