Mach reflection and KP solitons in shallow water

European Physical Journal: Special Topics

Volumn 185, Issue 1, 2010, Pages 97-111

  Yeh, H ^a   Li, W ^a   Kodama, Y ^b  

^a Oregon State University   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955904005     PISSN: 19516355     EISSN: 19516401     Source Type: Journal    
DOI: 10.1140/epjst/e2010-01241-0     Document Type: Article

References (32)

1. V. B. Barakhnin, G. S. Khakimzyanov, J. Appl. Mech. Tech. Phys. 40Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 1008 (1999).
2. R. Courant, K. O. Friedrichs, Supersonic Flow and Shock Waves (Intersciences Pub. New York, 1948), p. 464.
3. S. Chakravarty, Y. Kodama, J. Phys. A: Math. Theor. 41Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 275209 (2008).
4. S. Chakravarty, Y. Kodama, Stud. Appl. Math. 123Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 83 (2009).
5. J. D. Diorio, X. Liu, J. H. Duncan, J. Fluid Mech. 633Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 271 (2009).
6. J. H. Duncan, V. Philomin, M. Behres, J. Kimmel, Phys. Fluids 6Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 2558 (1994).
7. J. H. Duncan, H. Qiao, V. Philomin, A. Wenz, J. Fluid Mech. 379Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 191 (1999).
8. M. Funakoshi, J. Phys. Soc. Jpn. 49Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 2371 (1980).
9. S. M. Gardarsson, H. Yeh, J. Engrg. Mech., ASCE, 133Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 1093 (2007).
10. D. G. Goring, Tsunami-the propagation of long waves onto a shelf, Ph. D. thesis, Calif Inst. Tech. (1979).
11. K. Guizien, R. Barthlemy, J. Hydraulic Research 40Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 321 (2002).
12. R. Hirota, The Direct Method in Soliton Theory (Cambridge University Press, Cambridge, 2004).
13. B. B. Kadomtsev, V. I. Petviashvili, Sov. Phys. - Dokl. 15Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 539 (1970).
14. C.-Y. Kao, Y. Kodama, Math. Computers in Simulation (2010) (submitted).
15. S. Kato, T. Takagi, M. Kawahara, Int. J. Numer. Meth. Fluids 28Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 617 (1998).
16. Y. Kodama, J. Phys. A 37Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 11169 (2004).
17. Y. Kodama, M. Oikawa, H. Tsuji, J. Phys. A: Math. Theor. 42Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 1 (2009).
18. X. Liu, J. H. Duncan, J. Fluid Mech. 567Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 433 (2006).
19. M. S. Longuet-Higgins, J. D. Fenton, II. Proc. R. Soc. Lond. Ser. A 340Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 471 (1974).
20. W. K. Melville, J. Fluid Mech. 98Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 285 (1980).
21. J. W. Miles, J. Fluid Mech. 79Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 157 (1977).
22. J. W. Miles, J. Fluid Mech. 79Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 171 (1977).
23. J. V. Neumann, Oblique Reflection of Shocks (Dept. Comm. Off. of Tech. Serv., Washigton, D. C., 1943), PB-37079.
24. E. Pelinovsky, T. Talipova, C. Kharif, Physica D 147Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 83 (2000).
25. P. H. Perroud, The solitary wave reflection along a straight vertical wall at oblique incidence, Institute of Engineering Research, Wave Research Laboratory, Tech. Rep. 99/3 (University of California, Berkeley, 1957), p. 93.
26. J. D. Ramsden, Tsunamis: Forces on a Vertical Wall Caused by Long Waves, Bores, Surges on a Dry Bed, Ph. D. thesis, Calif Inst. Tech. (1993).
27. M. Tanaka, J. Fluid Mech. 248Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 637 (1993).
28. H. Tsuji, M. Oikawa, J. Phys. Soc. Japan 76Discussion & Debate: Rogue Waves - Towards a Unifying Concept?, 84401 (2007).
29. J. Von Neumann, Oblique reflection of shocks, Explosives Research Rep. No. 12, Navy Dept., Bureau of Ordnance, Washington, D. C. Also in John von Neumann Collected Works, edited by A. H. Taub, Vol. 6Discussion & Debate: Rogue Waves - Towards a Unifying Concept? (MacMillan, New York, 1963), p. 238.
30. G. B. Whitham, Linear and Nonlinear Waves (A Wiley-Interscience Pub., New York, 1974), p. 636.
31. R. L. Wiegel, Oceanographical Engineering (Prentice-Hall, Englewood cliffs, N. J. 1964), p. 532.
32. H. Yeh, A. Ghazali, A Bore on a Uniformly Sloping Beach (Proceedings 20th International Conference on Coastal Engineering) (1986), p. 877.