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Concerning the description of long nonlinear waves in channels. (English. Russian original) Zbl 0888.76007
Fluid Dyn. 31, No. 5, 739-746 (1996); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza. 1996, No. 5, 136-145 (1996).
Summary: A method of deriving the equations that describe long nonlinear waves in channels of arbitrary cross-section, taking the transverse acceleration of fluid particles into account (the Boussinesq approximation), is proposed. For channels of certain cross-sections the equations are written in explicit form. In the case of narrow channels, the Boussinesq equations and those of the next approximation are written in explicit form for arbitrary cross-sections.

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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References:
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