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Displaying similar documents to “On a model system for the oblique interaction of internal gravity waves”

Variable depth KdV equations and generalizations to more nonlinear regimes

Samer Israwi (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

We study here the water waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It is known that, for such regimes, a generalization of the KdV equation (somehow linked to the Camassa-Holm equation) can be derived and justified [Constantin and Lannes,   (2009) 165–186] when the bottom is flat. We generalize here this result with a new class of equations taking into account variable bottom...

Shoaling of nonlinear steady waves: maximum height and angle of breaking

Franco, Sebastião Romero, Farina, Leandro

Similarity:

A Fourier approximation method is used for modeling and simulation of fully nonlinear steady waves. The set of resulting nonlinear equations are solved by Newton's method. The shoaling of waves is simulated based on comparisons with experimental data. The wave heights and the angles of breaking are analysed until the limit of inadequacy of the numerical method. The results appear quite close to those criteria predicted by the theory of completely nonlinear surface waves and contribute...

Bilinear estimates related to the KP equations

Nikolay Tzvetkov (2000)

Journées équations aux dérivées partielles

Similarity:

We survey some recent results for the KP-II equation. We also give an idea for treating the “bad frequency interactions” of the bilinear estimates in the Fourier transform restriction spaces related to the KP-I equation.