Skip to main content
SpringerLink
Log in

Nonlinear waves on water and theory of solitons

  • Reviews
  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. R. Feynman, R. Leighton, and M. Sands,The Feynman Lectures on Physics [Russian translation], Issue 4, Moscow (1965).

  2. M. Ablowitz and H. Segur,Solitons and the Method of the Inverse Scattering Problem [Russian translation], Moscow (1987).

  3. P. S. Landa,Nonlinear Oscillations and Waves [in Russian], Moscow (1997).

  4. A. Newell,Solitons in Mathematics and Physics [Russian translation], Moscow (1991).

  5. J. Lamb, Jr.,Introduction to the Theory of Solitons [Russian translation], Moscow (1983).

  6. N. J. Zabusky and M. D. Kruskal,Phys. Rev. Lett.,15, 240–243 (1965).

    Article  Google Scholar 

  7. P. D. Lax,Comm. Pure Appl. Math.,21, 467–490 (1968).

    Article  MATH  Google Scholar 

  8. C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura,Phys. Rev.,9, 1095–1097 (1967).

    Google Scholar 

  9. I. M. Gel’fand and B. M. Levitan,Izv. Akad. Nauk SSSR, Matematika,45, No. 4, 309–360 (1951).

    Google Scholar 

  10. V. E. Zakharov and A. B. Shabat,Zh. Eksp. Teor. Fiz.,61, 118–134 (1971).

    Google Scholar 

  11. V. V. Golubev,Lectures on Integration of the Equations of Motion of a Heavy Solid around a Fixed Point [in Russian], Moscow (1953).

  12. V. I. Gromak and N. A. Lukashevich,Analytical Properties of Solutions of Painleve Equations [in Russian], Minsk (1990).

  13. M. J. Ablowitz, A. Ramani, and H. Segur,J. Math. Phys.,21, 715–721, 1006–1015 (1980).

    Article  MATH  Google Scholar 

  14. M. J. Ablowitz, A. Ramani, and H. Segur,Lett. Nuovo Cim.,23, 333–338 (1978).

    Google Scholar 

  15. J. Weiss, M. Tabor, and G. Carnevalle,J. Math. Phys.,24, No. 3, 522–526 (1983).

    Article  MATH  Google Scholar 

  16. J. Weiss,J. Math. Phys.,27, No. 5, 1293–1305 (1986).

    Article  MATH  Google Scholar 

  17. J. Weiss,J. Math. Phys.,26, No. 9, 2174–2180 (1985).

    Article  MATH  Google Scholar 

  18. J. Weiss,J. Math. Phys.,25, No. 1, 13–24 (1984).

    Article  MATH  Google Scholar 

  19. J. Weiss,J. Math. Phys.,24, No. 6, 1405–1413 (1983).

    Article  MATH  Google Scholar 

  20. J. Weiss,J. Math. Phys.,26, No. 2, 258–269 (1985).

    Article  MATH  Google Scholar 

  21. R. Conte and M. Musette,J. Phys. A: Math. Gen.,22, No. 2, 169–177 (1989).

    Article  MATH  Google Scholar 

  22. N. A. Kudryashov,Prikl. Mat. Mekh.,52, No. 3, 465–470 (1988).

    Google Scholar 

  23. N. A. Kudryashov,Teor. Mat. Fiz.,95, No. 2, 296–306 (1993).

    Google Scholar 

  24. N. A. Kudryashov,Teor. Mat. Fiz.,95, No. 3, 393–407 (1993).

    Google Scholar 

  25. N. A. Kudryashov,Phys. Lett. A,147, Nos. 5–6, 287–291 (1990).

    Article  Google Scholar 

  26. N. A. Kudryashov and E. D. Zargaryan,J. Phys. A: Math. Gen.,29, 8067–8077 (1996).

    Article  MATH  Google Scholar 

  27. N. A. Kudryashov,Phys. Lett. A,155, Nos. 4–5, 269–275 (1991).

    Article  Google Scholar 

  28. N. A. Kudryashov,J. Phys. A: Math. Gen.,27, 2457–2470 (1997).

    Article  Google Scholar 

  29. N. A. Kudryashov,Phys. Lett. A,178, Nos. 1–2, 99–104 (1993).

    Article  Google Scholar 

  30. N. A. Kudryashov,Phys. Lett. A,169, No. 4, 237–242 (1992).

    Article  Google Scholar 

  31. N. A. Kudryashov and V. A. Nikitin,J. Phys. A: Math. Gen.,27, L.101-L.106 (1994).

    Article  Google Scholar 

  32. N. A. Kudryashov,J. Phys. A: Math. Gen.,30, 5445–5453 (1997).

    Article  MATH  Google Scholar 

  33. N. A. Kudryashov and A. Pickering,J. Phys. A: Math. Gen.,32, 9505–9518 (1999).

    Article  Google Scholar 

  34. N. A. Kudryashov,Phys. Lett. A,224, 353–360 (1997).

    Article  Google Scholar 

  35. N. A. Kudryashov,Phys. Lett. A,252, 173–179 (1999).

    Article  MATH  Google Scholar 

  36. N. A. Kudryashov,J. Phys. A: Math. Gen.,31, L.129-L.137 (1998).

    Article  Google Scholar 

  37. N. A. Kudryashov,J. Phys. A: Math. Gen.,32, 999–1013 (1999).

    Article  MATH  Google Scholar 

  38. N. A. Kudryashov and M. V. Soukharev,Phys. Lett. A,237, 206–216 (1998).

    Article  MATH  Google Scholar 

Download references

Authors
  1. N. A. Kudryashov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kudryashov, N.A. Nonlinear waves on water and theory of solitons. J Eng Phys Thermophys 72, 1224–1235 (1999). https://doi.org/10.1007/BF02699470

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02699470

Keywords

Search

Navigation