Abstract
Equations of stationary long waves on the interface between a homogeneous fluid and an exponentially stratified fluid are considered. An equation of the second-order approximation of the shallow water theory inheriting the dispersion properties of the full Euler equations is used as the basic model. A family of asymptotic submodels is constructed, which describe three different types of bifurcation of solitary waves at the boundary points of the continuous spectrum of the linearized problem.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 151–161, July–August, 2008.
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Makarenko, N.I., Mal’tseva, Z.L. Asymptotic models of internal stationary waves. J Appl Mech Tech Phy 49, 646–654 (2008). https://doi.org/10.1007/s10808-008-0082-7
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DOI: https://doi.org/10.1007/s10808-008-0082-7