A generalized modified Kadomtsev-Petviashvili equation for interfacial wave propagation near the critical depth level

Wave Motion

Volumn 27, Issue 4, 1998, Pages 321-339

  Chen, Yongze ^a   Liu, Philip L F ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039491399     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-2125(97)00057-7     Document Type: Article

References (22)

1. M.J. Ablowitz, P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge, 1991.
2. W. Alpers, E. Salusti, Scylla and Charybdis observed from space, J. Geophys. Res. 88 (1983) 1800-1808.
3. Y. Chen, Modelling of surface water wave and interfacial wave propagation, Doctoral dissertation, Cornell University, Ithaca, New York, 1995.
4. Y. Chen, P.L.-F. Liu, The unified Kadomtsev-Petviashvili equation for interfacial waves, J. Fluid Mech. 288 (1995) 383-408.
5. Y. Chen, P.L.-F. Liu, On interfacial waves over random topography, Wave Motion 24 (1996) 169-184.
6. Y. Chen, P.L.-F. Liu, Numerical study of surface wave and Kelvin solitary wave propagation in a wide channel, Fluid Dyn. Res. 19 (1997) 27-45.
7. W. Choi, R. Camassa, Weakly nonlinear internal waves in a two-fluid system, J. Fluid Mech. 313 (1996) 83-103.
8. D.M. Farmer, Observations of long nonlinear internal waves in a lake, J. Phys. Oceanogr. 8 (1978) 63-73.
9. A.E. Gargett, Generation of internal waves in the Strait of Georgia, British Columbia, Deep-Sea Res. 23 (1976) 17-32.
10. R. Grimshaw, S. Tang, The rotation-modified Kadomtsev-Petviashvili equation: An analytical and numerical study, Stud. Appl. Math. 83 (1990) 223-248.
11. K.R. Helfrich, W.K. Melville, J.W. Miles, On interfacial solitary waves over slowly varying topography, J. Fluid Mech. 149 (1984) 305-317.
12. K. Hunkins, M. Fliegel, Internal undular surges in Seneca Lake: A natural occurrence of solitons, J. Geophys. Res. 78 (1973) 539-548.
13. B.B. Kadomtsev, V.I. Petviashvili, On the stability of solitary waves in weakly dispersing media, Sov. Phys. Dokl. 15 (1970) 539-541.
14. C. Katsis, T.R. Akylas, Solitary internal waves in a rotating channel: A numerical study, Phys. Fluids 30 (1987) 297-301.
15. P.E. La Violette, R.A. Arnone, A tide-generated internal waveform in the western approaches to the Strait of Gibraltar, J. Geophys. Res. 93 (1988) 15 653-15 667.
16. T. Maxworthy, Experiment on solitary internal Kelvin waves, J. Fluid Mech. 129 (1983) 365-383.
17. W.K. Melville, K.R. Helfrich, Transcritical two-layer flow over topography, J. Fluid Mech. 178 (1987) 31-52.
18. W.K. Melville, G.G. Tomasson, D.P. Renouard, On the stability of Kelvin waves, J. Fluid Mech. 206 (1989) 1-23.
19. D.P. Renouard, G. Chabert d'Hiéres, X. Zhang, An experimental study of strongly nonlinear waves in a rotating system, J. Fluid Mech. 177 (1987) 381-394.
20. S.A. Thorpe, A. Hall, I. Crofts, The internal surge in Loch Ness, Nature 237 (1972) 96-98.
21. G.G. Tomasson, W.K. Melville, Flow past a constriction in a channel: A modal description, J. Fluid Mech. 232 (1991) 21-45.
22. H. Tsuji, M. Oikawa, Two-dimensional interaction of internal solitary waves in a two-layer fluid, J. Phys. Soc. Japan 62 (1993) 3881-3892.