On symmetries of KdV-like evolution equations

Details On symmetries of KdV-like evolution equations On symmetries of KdV-like evolution equations

1998-05-22

arxiv.org/abs/math/9805105v3

Rep. Math. Phys., vol. 44 (1999), No.1-2, p. 183-190

Mathematics

Analysis of PDEs

LaTeX, 8 pages, no figures, very minor changes

Scientific paper

10.1016/S0034-4877(99)80159-1

The $x$-dependence of the symmetries of (1+1)-dimensional scalar translationally invariant evolution equations is described. The sufficient condition of (quasi)polynomiality in time $t$ of the symmetries of evolution equations with constant separant is found. The general form of time dependence of the symmetries of KdV-like non-linearizable evolution equations is presented.

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