We consider the variable coefficient Boiti–Leon–Pempinelli and two similar systems. We present the enhanced Lie group classification. This task is achieved with the aid of the equivalence transformations. We construct a number of similarity reductions which are used to derive exact solutions for the three ‐dimensional systems. The reductions are obtained using both one‐ and two‐dimensional subalgebras. In a specific case, each system admits a hidden symmetry.
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Kontogiorgis et al. (2024) studied this question.
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