On long waves in shallow water with shear flow

Wave Motion - Tập 8 - Trang 329-339 - 1986
Yan-Chow MA1
1Fluid Mechanics Department, TRW Space and Technology Group, Redondo Beach, CA 90278, U.S.A.

Tài liệu tham khảo

Korteweg, 1895, On the change of form of long waves advancing a rectangular canal, and on a new type of long stationary waves, Philos. Magazine Ser. 5, 39, 422, 10.1080/14786449508620739

Rayleigh, 1914, On the theory of long waves and bores, Proc. Roy. Soc. London Ser. A, 90, 10.1098/rspa.1914.0055

Benney, 1966, Long non-linear waves in fluid flows, J. Math. and Phys., 45, 52, 10.1002/sapm196645152

Ursell, 1953, The long-wave paradox in the theory of gravity waves, Proc. Camb. Phil. Soc., 39, 685, 10.1017/S0305004100028887

Long, 1964, The initial-value problem for long waves of finite amplitude, J. Fluid Mech., 20, 161, 10.1017/S0022112064001094

Byatt-Smith, 1971, An integral equation for unsteady surface waves and a comment on the Boussinesq equation, J. Fluid Mech., 49, 625, 10.1017/S0022112071002295

Lamb, 1932

Aklylas, 1980, Direct resonance in nonlinear wave systems, Stud. Appl. Math., 63, 209, 10.1002/sapm1980633209

Ablowitz, 1978, Solitons and rational solutions of nonlinear evolution equations, J. Math. Phys., 19, 2180, 10.1063/1.523550

Miles, 1977, Obliquely interacting solitary waves, J. Fluid Mech., 79, 157, 10.1017/S0022112077000081

Hickernell, 1983, The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. I. Derivation of the amplitude evolution equations, Stud. Appl. Math., 69, 1, 10.1002/sapm19836911

Hickernell, 1983, The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. II. Solutions of the Boussinesq equation, Stud. Appl. Math., 69, 23, 10.1002/sapm198369123