RUS  ENG
Full version
JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2008 Volume 49, Issue 4, Pages 151–161 (Mi pmtf1936)

This article is cited in 6 papers

Asymptotic models of internal stationary waves

N. I. Makarenko, Zh. L. Maltseva

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

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.

Keywords: two-layer fluid, exponential stratification, solitary waves.

UDC: 532.592

Received: 16.07.2007
Accepted: 23.11.2007


 English version:
Journal of Applied Mechanics and Technical Physics, 2008, 49:4, 646–654

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025