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Application of restricted Bäcklund transformation to linearization of second order nonlinear parabolic equation. (English) Zbl 0596.35067

It is shown that the only nonlinear second order parabolic equations of the form: \(u_{xx}=F(u,u_ x,u_ y)\) which can be linearized by the restricted Bäcklund transformation are those which are obtained from linear or Burgers equation by the transformation of the unknown function.
Reviewer: F.Conrad

MSC:

35K55 Nonlinear parabolic equations
35Q99 Partial differential equations of mathematical physics and other areas of application
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