New 5th-order Schwarzian evolution equations and their higher-order symmetries
Marianna Euler, Norbert Euler
Abstract
We report new quasilinear and fully-nonlinear 5th-order Schwarzian evolution equations. These are symmetry-integrable evolution equations in 1+1 dimensions, i.e. equations that admit Lie-Bäcklund symmetries, whereby it is required that the equations are kept invariant under the Möbius transformation for their dependent variable.
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