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- W2086165346 abstract "Complete integrability is proved for a system of ODE describing the double three-wave interaction between five waves, when the coupling constant in one triplet is twice as large as in the other. Known results from the Painleve analysis for this case are combined with the Yoshida-Kovalevskaya approach (1983) to gain insight about the degree of the missing first integral. This integral of degree six is then obtained via a direct search based on irreducible forms, elementary building blocks for polynomial first integrals in involution with the Manley-Rowe invariants." @default.
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- W2086165346 date "1988-05-21" @default.
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- W2086165346 title "Proof of integrability for five-wave interactions in a case with unequal coupling constants" @default.
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- W2086165346 doi "https://doi.org/10.1088/0305-4470/21/10/002" @default.
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