The two most popular and practically useful approaches to calculate approximate symmetries of differential equations with a small parameter are the Baikov–Gazizov–Ibragimov (BGI) and Fushchich–Shtelen (FS) frameworks. It is proven that BGI approximate symmetries form a subset of FS approximate symmetries. Examples are provided.
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Druzhkov et al. (2024) studied this question.
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