Factored Product Expansions of Solutions of Nonlinear Differential Equations
Copyright policy )Factored Product Expansions of Solutions of Nonlinear Differential Equations
Lie transformations are used to represent solutions of initial value problems for systems of nonlinear ordinary differential equations as exponentials of first order linear partial differential operators. These exponentials are then expanded using an analog of the usual exponential identities. This expansion is called the factored product expansion. Such expansions have been found useful in the study of magnetic and optical lenses.
Lie transformations, factored products, Lie series, Lie groups, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
Lie transformations, factored products, Lie series, Lie groups, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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