Direct Reduction and Diierential Constraints

نویسنده

  • Peter J. Olver
چکیده

Direct reductions of partial diierential equations to systems of ordinary diierential equations are in one-to-one correspondence with compatible diierential constraints. The diierential constraint method is applied to prove that a parabolic evolution equation admits innnitely many characteristic second order reductions, but admits a non-characteristic second order reduction if and only if it is linearizable.

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تاریخ انتشار 1994