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- W1504875951 abstract "We study the Painleve property of the (1+1)-dimensional equations arising from the symmetry reduction for the (2+1)-dimensional ones. Firstly, we derive the similarity reduction of the (2+1)-dimensional potential Calogero—Bogoyavlenskii—Schiff (CBS) equation and Konopelchenko—Dubrovsky (KD) equations with the optimal system of the admitted one-dimensional subalgebras. Secondly, by analyzing the reduced CBS, KD, and Burgers equations with Painleve test, respectively, we find both the Painleve integrability, and the number and location of resonance points are invariant, if the similarity variables include all of the independent variables." @default.
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- W1504875951 date "2013-11-01" @default.
- W1504875951 modified "2023-10-18" @default.
- W1504875951 title "Invariance of Painlevé property for some reduced (1+1)-dimensional equations" @default.
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- W1504875951 doi "https://doi.org/10.1088/1674-1056/22/11/110203" @default.
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