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- W2037118967 abstract "The eigenvalue problem determining the periods of slightly nonhydrostatic standing waves in a basin with parabolic bottom profile has previously been resolved using Frobenius series representations of the solutions in conjunction with boundedness conditions at the basin endpoints. Here it is shown that by subjecting the governing equation to a Benjamin-Bona-Mahony transformation the problem is considerably simplified and that the range of validity of a simple power series solution exceeds the one previously obtained. Das Eigenwertproblem, das die Perioden von schwach nichthydrostatischen stehenden Wellen in einem Basin mit parabolischem Bodenprofil bestimmt, ist früher gelöst worden unter Benutzung von Frobenius-Reihendarstellungen der Lösungen zusammen mit Beschränktheitsbedingungen an den Endpunkten des Basins. Hier wird gezeigt, daß bei Unterwerfung der Grundgleichung einer Benjamin-Bona-Mahony-Transformation das Problem beträchtlich vereinfacht wird und daß der Definitionsbereich einer einfachen Potenzreihe den überschreitet, den man früher erhalten hatte." @default.
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- W2037118967 date "1993-01-01" @default.
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- W2037118967 title "A Note on the Analytical Resolution of a Nonhydrostatic Standing-Wave Eigenvalue Problem for a Parabolic Basin" @default.
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- W2037118967 doi "https://doi.org/10.1002/zamm.19930731011" @default.
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