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On symmetries of KdV-like evolution equations

Artur Sergyeyev
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Abstract

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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Artur Sergyeyev. 2007-01-09. On symmetries of KdV-like evolution equations. https://doi.org/10.1016/s0034-4877(99)80159-1

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