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- W4387377827 abstract "We study reductions of the Korteweg–de Vries equation corresponding to stationary equations for symmetries from the noncommutative subalgebra. An equivalent system of n second-order equations is obtained, which reduces to the Painlevé equation P34 for n = 1. On the singular line t = 0, a subclass of special solutions is described by a system of n − 1 second-order equations, equivalent to the P3 equation for n = 2. For these systems, we obtain the isomonodromic Lax pairs and Bäcklund transformations which form the group Z2n×Zn." @default.
- W4387377827 created "2023-10-06" @default.
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- W4387377827 date "2023-10-01" @default.
- W4387377827 modified "2023-10-16" @default.
- W4387377827 title "Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P34 and P3" @default.
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- W4387377827 doi "https://doi.org/10.1063/5.0156409" @default.
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