|
I.T.Selezov, A.A.Riabenko Water waves at the persence of inhomogeneities |
Applied hydromechanics, Vol. 14 (86) ¹ 1, (2012) |
|
Three types of evolution equations describing solitary waves in the finite
depth fluid are presented. The equations generalize earlier known results
to cases of variable depth, exciting bottom surface and wave generation in
flow in the presence of a local inhomogeneity. Derivation of equations is
based on application of asymptotic analysis characterizing big work. Some
effects predicted presented models are discussed. Extension of field
application the first model is shown by comparison with known experimental
and numerical results. The second model characterizes the effect of
excitable elastic bottom on wave propagation. The third model leads to the
forced Korteweg-de Vries equation and discovers the fast and slow wave
modes at fluid flow over a local inhomogeneity in two-layer fluid.
|
|
KEY WORDS: surface waves, solitary waves, local inhomogeneity |
| TEXT LANGUAGE: Russian |