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- W2054608968 abstract "The scaling invariant solutions of the three-wave resonant system in one spatial and one temporal dimension satisfy a system of three first-order nonlinear ordinary differential equations. These equations can be reduced to one second-order equation quadratic in the second derivative. This equation is outside the class of equations classified by Painlevé and his school. However, it is a special case of an equation recently found to be related via a one-to-one transformation to the Painlevé VI equation." @default.
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- W2054608968 date "1986-04-01" @default.
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- W2054608968 title "The scaling reduction of the three-wave resonant system and the Painlevé VI equation" @default.
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- W2054608968 doi "https://doi.org/10.1016/0375-9601(86)90624-9" @default.
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