[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Log in

Applications of KdV

  • Published:
Acta Applicandae Mathematica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

References

  1. Ablowitz, M. J. and Segur, H.:Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, 1981.

    Google Scholar 

  2. Apel, J. R., Holbrook, J. R., Liu, A. K., and Tsai, J. J.:J. Phys. Oceanogr. 15 (1985), 1625.

    Google Scholar 

  3. Benjamin, T. B.:J. Fluid Mech. 25 (1967), 559.

    Google Scholar 

  4. Bullough, R. K. and Caudery, P. J. (eds):Solitons, Springer-Verlag, Berlin, 1980.

    Google Scholar 

  5. Calogero, F. and Degasperis, A.:Lett. Nuovo Cimento 23 (1978), 150.

    Google Scholar 

  6. Davydov, A. S.:Solitons in Molecular Systems, D. Reidel, Dordrecht, 1985.

    Google Scholar 

  7. Dewar, W. K.:Geophys. Astrophys. Fluid Dynamics 51 (1990), 53.

    Google Scholar 

  8. Dreiden, G. V., Ostrovskii, Y. I., Samsonov, A. M., Semenova, I. V., and Sokurinskaya, E. V.:Sov. Phys. Tech. Phys. 33(10) (1988), 1237.

    Google Scholar 

  9. Gardner, C. S., Greene, J. M., Kruskal, M. D., and Miura, R. ML.:Phys. Rev. Lett. 19 (1967), 1095.

    Google Scholar 

  10. Gardner, C. S. and Morikawa, G. K.: Courant Inst. Math. Sci. Res. Rep. NYO-9082, New York University, 1960.

  11. Gorshkov, K. A., Ostrovsky, L. A., and Pelinovsky, E. N.:Proc. IEEE 62 (1974), 1511.

    Google Scholar 

  12. Hammack, J. L. and Segur, H.:J. Fluid Mech. 65 (1974), 289.

    Google Scholar 

  13. Hammack, J. L. and Segur, H.:J. Fluid Mech. 84 (1978), 337.

    Google Scholar 

  14. Hammack, J. L. and Segur, H.:J. Fluid Mech. 84 (1978), 359.

    Google Scholar 

  15. Harris, S. E. and Crighton, D. G.:J. Fluid Mech. 266 (1994), 243.

    Google Scholar 

  16. Hayakawa, H., Komatsu, T. S., and Tsuzuki, T.:Physica A 204 (1994), 277.

    Google Scholar 

  17. Helfrich, K. R. and Whitehead, J. A.:Geophys. Astrophys. Fluid Dynamics 51 (1990), 35.

    Google Scholar 

  18. Hershkowitz, N., Romesser, T., and Montgomery, D.:Phys. Rev. Lett. 29 (1972), 1586.

    Google Scholar 

  19. Hershkowitz, N. and Romesser, T.:Phys. Rev. Lett. 32 (1974), 581.

    Google Scholar 

  20. Hirota, R. and Suzuki, K.:J. Phys. Soc. Japan 28 (1970), 1366.

    Google Scholar 

  21. Ikezi, H.: Experiments on solitons in plasmas, in K. Lonngren and A. C. Scott (eds),Solitons in Action, Academic Press, New York, 1978, 153.

    Google Scholar 

  22. Ikezi, H., Barrett, P. J., White, R. B., and Wong, A. Y.:Phys. Fluids 14 (1971), 1997.

    Google Scholar 

  23. Ikezi, H., Taylor, R. J., and Baker, D. R.Phys. Rev. Lett. 25 (1970), 11.

    Google Scholar 

  24. Karpman, V. I. and Maslov, E. M.:Sov. Phys. JETP 46(2) (1977), 281.

    Google Scholar 

  25. Karpman, V. I. and Maslov, E. M.:Sov. Phys. JETP 48(2) (1978), 252.

    Google Scholar 

  26. Keulegan, G. H.:J. Res. N.B.S. 40 (1948), 487.

    Google Scholar 

  27. Keulegan, G. H.:J. Res. N.B.S. 51 (1953), 133.

    Google Scholar 

  28. Kluwick, A.:Z. Angew. Math. Mech. 63 (1983), 161.

    Google Scholar 

  29. Knickerbocker, C. J. and Newell, A. C.:J. Fluid Mech. 98 (1980), 803.

    Google Scholar 

  30. Knickerbocker, C. J. and Newell, A. C.:J. Fluid Mech. 153 (1985), 1.

    Google Scholar 

  31. Koop, C. G. and Butler, G.:J. Fluid Mech. 112 (1981), 225.

    Google Scholar 

  32. Kubota, T., Ko, D. R. S., and Dobbs, L. D.:AIAA J. Hydronautics 12 (1978), 157.

    Google Scholar 

  33. Kuznetsov, V. V., Nakoryakov, V. E., Pokusaev, B. G., and Shreiber, I. R.:J. Fluid Mech. 85 (1978), 85.

    Google Scholar 

  34. Lomdahl, P. S.: Chapter 9, in A. P. Fordy (ed.),Soliton Theory: A Survey of Results, Manchester Univ. Press, 1990.

  35. Lonngren, K.: Observations of solitons on nonlinear dispersive transmission waves, in: K. Lonngren and A. C. Scott (eds),Solitons in Action, Academic Press, New York, 1978, 127.

    Google Scholar 

  36. Marcus, P. S.:Ann. Rev. Astron. Astrophys. 31 (1993), 523.

    Google Scholar 

  37. Maxon, S. and Viecelli, J.:Phys. Fluids 17 (1974), 1614.

    Google Scholar 

  38. Maxworthy, T. and Redekopp, L. G.:Icarus 29 (1976), 261.

    Google Scholar 

  39. Maxworthy, T., Redekopp, L. G., and Weidman, P. D.:Icarus 33 (1978), 388.

    Google Scholar 

  40. Nakoryakov, V. E., Pokusaev, B. G., and Shreiber, I. R.:Wave Propagation in Gas-Liquid Media, 2nd edn, CRC Press, Boca Raton, 1993.

    Google Scholar 

  41. Nariboli, G. A. and Sedov, A.:J. Math. Anal. Appl. 32 (1970), 661.

    Google Scholar 

  42. Newell, A. C.:Solitons in Mathematics and Physics, SIAM, Philadephia, 1985.

    Google Scholar 

  43. Nezlin, M. V.:Chaos 4(2) (1994), 187.

    Google Scholar 

  44. Nimmo, J. J. C. and Crighton, D. G.:Phys. Lett. 82A (1981), 211.

    Google Scholar 

  45. Oikawa, M. and Yajima, N.:J. Phys. Soc. Japan 34 (1973), 1093.

    Google Scholar 

  46. Olson, M. and Christensen, U.:J. Geophys. Res. 91(B) (1986), 6367.

    Google Scholar 

  47. Ono, H.:J. Phys. Soc. Japan 39 (1975), 1082.

    Google Scholar 

  48. Osborne, A. R.: Chapter 7, in A. P. Fordy (ed.),Soliton Theory: A Survey of Results, Manchester Univ. Press, 1990.

  49. Osborne, A. R. and Burch, T. L.:Science 208 (1980), 451.

    Google Scholar 

  50. Peek, B. M.:The Planet Jupiter, Faber and Faber, London, 1958.

    Google Scholar 

  51. Richter, F. M. and McKenzie, D. P.:J. Geol. 92 (1984), 729.

    Google Scholar 

  52. Saeki, K.:J. Phys. Soc. Japan 35 (1973), 251.

    Google Scholar 

  53. Samsonov, A. M. and Sokurinskaya, E. V.:Sov. Phys. Tech. Phys. 33(8) (1988), 989.

    Google Scholar 

  54. Scott, D. R. and Stevenson, D. J.:Geophys. Res. Letter. 11 (1986), 1161.

    Google Scholar 

  55. Segur, H. and Hammack, J. L.:J. Fluid Mech. 118 (1982), 285.

    Google Scholar 

  56. Stewart, R. W. and Corones, J.:Rocky Mountain J. Math. 8 (1978), 227.

    Google Scholar 

  57. Tappert, F. D. and Judice, C. N.:Phys. Rev. Lett. 29 (1972), 1308.

    Google Scholar 

  58. van Wijngaarden, L.:Ann. Rev. Fluid Mech. 4 (1972), 369.

    Google Scholar 

  59. Washimi, H. and Taniuti, T.:Phys. Rev. Lett. 17 (1966), 996.

    Google Scholar 

  60. Whitehead, J. A. and Helfrich, K. R.:Nature 336 (1988), 59.

    Google Scholar 

  61. Yomosa, S.:J. Phys. Soc. Japan 53 (1984), 3692.

    Google Scholar 

  62. Zabusky, N. J. and Kruskal, M. D.:Phys. Rev. Lett. 15 (1965), 240.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Crighton, D.G. Applications of KdV. Acta Appl Math 39, 39–67 (1995). https://doi.org/10.1007/BF00994625

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00994625

Mathematics subject classification (1991)

Key words

Navigation