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arxiv: 1810.03379 · v1 · pith:AVCTLU6Dnew · submitted 2018-10-08 · 🧮 math-ph · math.MP

Some remarks about Lie and potential symmetries of a class of Korteweg-de Vries type equations

classification 🧮 math-ph math.MP
keywords symmetriespotentialequationsclasskorteweg-desystemstypevries
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Preliminary results about Lie and potential symmetries of a class of Korteweg-de Vries type equations are presented. In order to prove existence of potential symmetries three different systems of so called determining equations are analysed. It is shown that two systems lead only to Lie symmetries while the third system produces potential symmetries provided the equation in question has an appropriate structure

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