Towards the theory of integrable hyperbolic equations of third order
classification
🌊 nlin.SI
math-phmath.APmath.MP
keywords
equationshyperbolicequationintegrableorderthirdvariablesadmits
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The examples are considered of integrable hyperbolic equations of third order with two independent variables. In particular, an equation is found which admits as evolutionary symmetries the Krichever--Novikov equation and the modified Landau--Lifshitz system. The problem of choice of dynamical variables for the hyperbolic equations is discussed.
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