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• W3208962852 endingPage "2095" @default.
• W3208962852 startingPage "2095" @default.
• W3208962852 abstract "We demonstrate the way to derive the second Painlevé equation P2 and its Bäcklund transformations from the deformations of the Nonlinear Schrödinger equation (NLS), all the while preserving the strict invariance with respect to the Schlesinger transformations. The proposed algorithm allows for a construction of Jordan algebra-based completely integrable multiple-field generalizations of P2 while also producing the corresponding Bäcklund transformations. We suggest calling such models the JP-systems. For example, a Jordan algebra JMat(N,N) with the Jordan product in the form of a semi-anticommutator is shown to generate an integrable matrix generalization of P2, whereas the VN algebra produces a different JP-system that serves as a generalization of the Sokolov’s form of a vectorial NLS." @default.
• W3208962852 created "2021-11-08" @default.
• W3208962852 creator A5032997454 @default.
• W3208962852 creator A5079922169 @default.
• W3208962852 date "2021-11-05" @default.
• W3208962852 modified "2023-09-26" @default.
• W3208962852 title "On the Question of the Bäcklund Transformations and Jordan Generalizations of the Second Painlevé Equation" @default.
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• W3208962852 doi "https://doi.org/10.3390/sym13112095" @default.
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