摘要: When certain types of waves inherit a gentle nonuniformity or experience long scale variations in the medium they respond by slow variation their characteristics without substantial disintegration loss identity. A standard example is refraction linear sinusoidal surface due to changes bathymetry current. Also few classes nonlinear display similar behaviour; like Stokes (Peregrine 1983), shocks (Whitham 1974) and Boussinesq solitons (Miles 1977b). The latter concern present work
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R. Grimshaw, The solitary wave in water of variable depth Journal of Fluid Mechanics. ,vol. 42, pp. 639- 656 ,(1970) , 10.1017/S0022112070001520
John W. Miles, Diffraction of solitary waves Zeitschrift für Angewandte Mathematik und Physik. ,vol. 28, pp. 889- 902 ,(1977) , 10.1007/BF01603824
John W. Miles, Resonantly interacting solitary waves Journal of Fluid Mechanics. ,vol. 79, pp. 171- 179 ,(1977) , 10.1017/S0022112077000093
G. B. Whitham, Richard G. Fowler, Linear and Nonlinear Waves ,(1974)
W. K. Melville, On the Mach reflexion of a solitary wave Journal of Fluid Mechanics. ,vol. 98, pp. 285- 297 ,(1980) , 10.1017/S0022112080000158
K. Ko, H. H. Kuehl, Korteweg-de Vries Soliton in a Slowly Varying Medium Physical Review Letters. ,vol. 40, pp. 233- 236 ,(1978) , 10.1103/PHYSREVLETT.40.233
Philip L.-F. Liu, Sung B. Yoon, Stem waves along a depth discontinuity Journal of Geophysical Research. ,vol. 91, pp. 3979- 3982 ,(1986) , 10.1029/JC091IC03P03979
Geir Pedersen, Nonlinear modulations of solitary waves Journal of Fluid Mechanics. ,vol. 267, pp. 83- 108 ,(1994) , 10.1017/S0022112094001126
Mitsuaki Funakoshi, Reflection of Obliquely Incident Solitary Waves Journal of the Physical Society of Japan. ,vol. 49, pp. 2371- 2379 ,(1980) , 10.1143/JPSJ.49.2371
K. Ko, H. H. Kuehl, Cylindrical and spherical Korteweg–deVries solitary waves Physics of Fluids. ,vol. 22, pp. 1343- 1348 ,(1979) , 10.1063/1.862745