A Lie point symmetry is a continuous transformation of independent and dependent variables that maps solutions of a differential equation to solutions.
Lie point symmetry is a concept from the field of differential equations and mathematical physics, named after the mathematician Sophus Lie. It specifically refers to symmetries of differential equations that can be expressed in terms of point transformations of the independent and dependent variables. In simpler terms, if a differential equation remains invariant under a transformation that is generated by a continuous group of transformations, then it possesses a Lie point symmetry.
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