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- W2152689081 abstract "The Euler's equations describing the dynamics of capillary-gravity water waves in two-dimensions are considered in the limits of small-amplitude and long-wavelength under appropriate boundary conditions. Using a double-series perturbation analysis, a general Boussinesq type of equation is derived involving the small-amplitude and long-wavelength parameters. A recently introduced sixth-order Boussinesq equation by Daripa and Hua [Appl. Math. Comput. 101 (1999), 159- 207] is recovered from this equation in the 1/3 Bond number limit (from below) when the above parameters bear a certain relationship as they approach zero." @default.
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- W2152689081 date "2003-01-01" @default.
- W2152689081 modified "2023-09-27" @default.
- W2152689081 title "On a Class of Boussinesq Equations for Shallow Water Waves" @default.
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- W2152689081 doi "https://doi.org/10.1007/3-540-44843-8_83" @default.
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