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Group analysis reveals invariant solutions of Cahn–Hilliard fluid equations in one dimension, indicating classification potential.
Lie group analysis classifies differential equations based on their dependence on arbitrary functions, thereby facilitating the generation of invariant solutions that are exact solutions. This paper considers the group analysis of Cahn–Hilliard fluid equations in one dimension. The models are separated into five different classes by group classification. The invariant solutions of specific models are presented.
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Suksern et al. (2026) studied this question.
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