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- W2003115854 abstract "Generating functions for a complete collection of symmetries of the multiphased averaged KdV equation are constructed. The isospectral generating function has a potential form with one of the canonical basis holomorphic differentials as a potential and possesses some remarkable properties at double points of the hyperelliptic Riemann surface. A new representation for the characteristic speeds of the Whitham-KdV hierarchy is obtained. A global solution to the Whitham system is constructed in an effective form for the case of smooth decreasing initial data with a finite number of inflection points. The large time asymptotics of this solution implies the single-phase limiting behaviour of the oscillations to correlate with the asymptotic predictions of the Lax-Levermore theory." @default.
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- W2003115854 title "Generating function of the Whitham-KdV hierarchy and effective solution of the Cauchy problem" @default.
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- W2003115854 doi "https://doi.org/10.1016/s0375-9601(96)00667-6" @default.
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