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Similarity reductions of the generalized Burgers equation , where α, β, and γ are non‐negative constants, n a positive integer and j= 0, 1, 2, are obtained by the direct method of Clarkson and Kruskal [1]. This is the first work to report the similarity variables as an incomplete gamma function and also as a power of , and to provide a perturbation solution of an Euler–Painlevé transcedent.

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We introduce a new class of sets namely (1, 2) ⋆ -ǧα -closed sets, (1, 2) ⋆ -Λ G -set, (1, 2) ⋆ -λ G -set and (1, 2) ⋆ -ǧα -Locally closed sets are study in bitopological spaces. We prove that this classes lies between (1, 2) ⋆ -α-closed sets and (1, 2) ⋆ -αg-closed sets. Furthermore, we discuss some essential properties of (1, 2) ⋆ -ǧα -closed sets in present of this paper. Keywords.(1, 2) ⋆ -ǧα -closed sets, (1, 2) ⋆ -G-ker(A), (1, 2) ⋆ -Λ G -set, (1, 2) ⋆ -λ G -set and (1, 2) ⋆ -ǧα -LC