On symmetries of KdV-like evolution equations

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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References in corpus (1)

• Time-Dependent Symmetries of Variable-Coefficient Evolution Equations and Graded Lie Algebras

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