Group reduction on vector NLS, mKdV, and KdV equations yields multicomponent Painlevé-type ODE systems admitting isomonodromic Lax pairs and nonautonomous deformations of Garnier and Hénon-Heiles systems.
Meromorphy of solutions for a system ofNequations of Painlev´ e 34 type related to negative symmetries of the Korteweg–de Vries equation,
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Vector systems of Painlev\'e type
Group reduction on vector NLS, mKdV, and KdV equations yields multicomponent Painlevé-type ODE systems admitting isomonodromic Lax pairs and nonautonomous deformations of Garnier and Hénon-Heiles systems.