| Autor: |
Adler, V. E., Kolesnikov, M. P. |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Physics; Oct2023, Vol. 64 Issue 10, p1-9, 9p |
| Abstrakt: |
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 Z 2 n × Z n . [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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