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• W2963416729 abstract "Interrelation between Thom’s catastrophes and differential equations revisited. It is shown that versal deformations of critical points for singularities of A,D,E type are described by the systems of Hamilton-Jacobi type equations. For particular nonversal unfoldings the corresponding equations are equivalent to the integrable two-component hydrodynamic type systems like classical shallow water equation, dispersionless Toda system and others. Peculiarity of such integrable systems is that the generating functions for the corresponding hierarchies, which obey Euler-Poisson-Darboux equation, contain information about normal forms of higher order and higher corank singularities." @default.
• W2963416729 created "2019-07-30" @default.
• W2963416729 creator A5085198555 @default.
• W2963416729 date "2012-07-30" @default.
• W2963416729 modified "2023-10-16" @default.
• W2963416729 title "Unfolding of singularities and differential equations" @default.
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• W2963416729 doi "https://doi.org/10.1285/i15900932v32n1p125" @default.
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