摘要: The interaction of weakly nonlinear long internal gravity waves is studied. Weak interactions occur when the wave phase speeds are unequal; this case includes that a head-on collision. It shown each satisfies Korteweg-de Vries equation, and main effect described by shift. Strong nearly equal although belong to different modes. This pair coupled equations, for which some preliminary numerical results presented.
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sci-hub.se 参考文章(17)
D. J. Benney, Long Non‐Linear Waves in Fluid Flows Journal of Mathematics and Physics. ,vol. 45, pp. 52- 63 ,(1966) , 10.1002/SAPM196645152
T. R. Akylas, D. J. Benney, Direct resonance in nonlinear wave systems Studies in Applied Mathematics. ,vol. 63, pp. 209- 226 ,(1980) , 10.1002/SAPM1980633209
A. K. Liu, T. Kubota, D. R. S. Ko, Resonant Transfer of Energy between Nonlinear Waves in Neighboring Pycnoclines Studies in Applied Mathematics. ,vol. 63, pp. 25- 45 ,(1980) , 10.1002/SAPM198063125
R. Grimshaw, Evolution Equations for Long, Nonlinear Internal Waves in Stratified Shear Flows Studies in Applied Mathematics. ,vol. 65, pp. 159- 188 ,(1981) , 10.1002/SAPM1981652159
John W. Miles, Resonantly interacting solitary waves Journal of Fluid Mechanics. ,vol. 79, pp. 171- 179 ,(1977) , 10.1017/S0022112077000093
John W. Miles, Obliquely interacting solitary waves Journal of Fluid Mechanics. ,vol. 79, pp. 157- 169 ,(1977) , 10.1017/S0022112077000081
Carl Eckart, Internal Waves in the Ocean Physics of Fluids. ,vol. 4, pp. 791- 799 ,(1961) , 10.1063/1.1706408
D. R. Christie, K. J. Muirhead, R. H. Clarke, Solitary waves in the lower atmosphere Nature. ,vol. 293, pp. 46- 49 ,(1981) , 10.1038/293046A0
R I Joseph, Solitary waves in a finite depth fluid Journal of Physics A. ,vol. 10, ,(1977) , 10.1088/0305-4470/10/12/002
Masayuki Oikawa, Nobuo Yajima, Interactions of Solitary Waves –A Perturbation Approach to Nonlinear Systems– Journal of the Physical Society of Japan. ,vol. 34, pp. 1093- 1099 ,(1973) , 10.1143/JPSJ.34.1093