Soliton resonance of the (2 + 1)-dimensional Boussinesq equation for gravity water waves

Nonlinear Analysis: Real World Applications

Volumn 9, Issue 3, 2008, Pages 920-926

  Zhang, Hai Qiang ^a   Meng, Xiang Hua ^a   Li, Juan ^a   Tian, Bo ^a  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

(2 + 1) dimensional Boussinesq equation; Minus resonance; Plus resonance; Soliton resonance

Indexed keywords

GRAVITY WAVES; ONE DIMENSIONAL; RESONANCE; SOLITONS; TWO DIMENSIONAL; WATER WAVES;

MINUS RESONANCE; PLUS RESONANCE; RESONANT INTERACTION; SOLITON RESONANCE;

NONLINEAR EQUATIONS;

EID: 38949128008     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.01.010     Document Type: Article

References (53)

1. Kako F., and Yajima N. J. Phys. Soc. Jpn. 49 (1980) 2063
2. Tajiri M., and Maesono H. Phys. Rev. E 55 (1997) 3351
3. Maruno K., and Biondini G. J. Phys. A 37 (2004) 11819
4. Ze F., Hershkowitz N., Chan C., and Lonngren K.E. Phys. Rev. Lett. 42 (1979) 1747
5. Nagasawa T., and Nishida Y. Phys. Rev. A 28 (1983) 3043
6. Nakamura Y., Bailung H., and Lonngren K.E. Phys. Plasmas 6 (1999) 3466
7. Lonngren K.E. Opt. Quantum Electron. 30 (1998) 615
8. Pedlosky J. Geophysical Fluid Dynamics. second ed. (1987), Springer, Berlin
9. R. Ibragimov, Commun. Nonlinear Sci. Numer. Simul. 2006, in press, doi:10.1016/j.cnsns.2006.06.011.
10. Soomere T., and Engelbrecht J. Eur. J. Mech. B Fluids 25 (2006) 636
11. Soomere T. Environ. Fluid. Mech. 5 (2005) 293
12. Folkes P.A., Ikezi H., and Davis R. Phys. Rev. Lett. 45 (1980) 902
13. Nishida Y., and Nagasawa T. Phys. Rev. Lett. 45 (1980) 1626
14. Nagasawa T., and Nishida Y. Phys. Rev. A 46 (1992) 3471
15. Osborne A.R., Onorato M., Serio M., and Bergamasco L. Phys. Rev. Lett. 81 (1998) 3559
16. Sreekumar J., and Nandakumaran V.M. Phys. Lett. A 112 (1985) 168
17. Tian B., and Gao Y.T. Eur. Phys. J. D 33 (2005) 59
18. Tian B., and Gao Y.T. Phys. Plasmas (Lett.) 12 (2005) 070703
19. Gao Y.T., and Tian B. Phys. Plasmas 13 (2006) 112901
20. Gao Y.T., and Tian B. Phys. Lett. A 349 (2006) 314
21. Gao Y.T., and Tian B. Phys. Plasmas (Lett.) 13 (2006) 120703
22. Y. T. Gao and B. Tian, Europhys. Lett. 77 (2007) 15001.
23. Oikawa M., and Tsuji H. Fluid Dyn. Res. 38 (2006) 868
24. Xu T., Zhang C.Y., Li J., Zhang H.Q., Li L.L., and Tian B. Z. Naturforsch. A 61 (2006) 652
25. Biondini G., and Chakravarty S. J. Math. Phys. 47 (2006) 033514
26. Yajima N., Oikawa M., and Satsuma J. J. Phys. Soc. Jpn. 44 (1978) 1711
27. Isojima S., Willox R., and Satsuma J. J. Phys. A 35 (2002) 6893
28. Isojima S., Willox R., and Satsuma J. J. Phys. A 36 (2003) 9533
29. Tajiri M., Miura H., and Arai T. Phys. Rev. E 66 (2002) 067601
30. Dinkel J.N., Setzer C., Rawal S., and Lonngren K.E. Chaos Solitons and Fractals 12 (2001) 91
31. Peterson P., Soomere T., Engelbrecht J., and Groesen E.V. Nonlinear Proc. Geophys. 10 (2003) 503
32. Kharif C., and Pelinovsky E. Eur. J. Mech. B Fluids 22 (2003) 603
33. Duan W.S., Shi Y.R., and Hong X.R. Phys. Lett. A 323 (2004) 89
34. Soomere T. Phys. Lett. A 332 (2004) 74
35. Maxworthy T. J. Fluid Mech. 96 (1980) 47
36. Tsukabayashi I., and Nakamura Y. Phys. Lett. A 85 (1981) 151
37. Nakamura Y., Bailung H., and Lonngren K.E. Phys. Plasmas 6 (1999) 3466
38. Gao Y.T., Tian B., and Zhang C.Y. Acta Mech. 182 (2006) 17
39. Tian B., and Gao Y.T. Phys. Lett. A 342 (2005) 228
40. Tian B., and Gao Y.T. Phys. Lett. A 359 (2006) 241
41. Tian B., Shan W.R., Zhang C.Y., Wei G.M., and Gao Y.T. Eur. Phys. J. B (Rapid Not.) 47 (2005) 329
42. Tian B., Wei G.M., Zhang C.Y., Shan W.R., and Gao Y.T. Phys. Lett. A 356 (2006) 8
43. Johnson R.S. J. Fluid Mech. 323 (1996) 65
44. Chen Y., Yan Z.Y., and Zhang H.Q. Phys. Lett. A 307 (2003) 107
45. Zhang J.F., and Lai X.J. J. Phys. Soc. Jpn. 73 (2004) 2402
46. Hirota R., and Ito M. J. Phys. Soc. Jpn. 52 (1983) 744
47. Ohkuma K., and Wadati M. J. Phys. Soc. Jpn. 52 (1983) 749
48. Akylas T. J. Fluid Mech. 141 (1984) 455
49. Wu T.Y. J. Fluid Mech. 184 (1987) 75
50. Parnell K.E., and Kofoed-Hansen H. Coastal Management 29 (2001) 217
51. Li Y., and Sclavounos P.D. J. Fluid Mech. 470 (2002) 383
52. Soomere T., and Rannat K. Proc. Estonian Acad. Sci. Eng. 9 (2003) 157
53. Dauxois T., and Peyrard M. Physics of Solitons (2006), Cambridge University Press, Cambridge