Skip to main content
Log in

Finite-amplitude cylindrical and spherical waves in weakly dispersive media

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

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

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. N. Hershkowitz and T. Romesser, “Observations of ion-acoustic cylindrical solitons,” Phys. Rev. Lett.,32, No. 11 (1974).

  2. N. Hershkowitz, J, Glaus, and K. E. Lonngren, “Spherical ion-acoustic solitons,” Plasma Phys.,21, No. 6 (1979).

  3. F. Ze, N. Hershkowitz, C. Chan, and K. E. Lonngren, “Excitation of spherical ion-acoustic solitons with a conducting probe,” Phys. Fluids,22, No. 8 (1979).

  4. L. Tsukabayashi and T. Yagishita, “Propagation of circular solitary waves on shallow water,” J. Phys. Soc. Jpn.,46, No. 4 (1979).

  5. A. A. Dorfman, “Axially symmetric problem of unstable finite-amplitude waves generated by displacements of a channel bottom,” in: Theoretical and Experimental Studies in Tsunami Problems [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. O. V. Rudenko and S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics, Consultants Bureau, New York (1977).

    Google Scholar 

  7. V. I. Karpman, Nonlinear Waves in Dispersive Media, Pergamon Press (1975).

  8. S. Maxon and J. Viecelli, “Cylindrical solitons,” Phys. Fluids,17, No. 8 (1974).

  9. S. Maxon and J. Viecelli, “Spherical solitons,” Phys. Rev. Lett.,32, 4 (1974).

    Google Scholar 

  10. L. A. Ostrovskii and E. N. Pelinovskii, “Nonlinear wave evolution of the tsunami type,” in: Theoretical and Experimental Studies in Tsunami Problems [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  11. J. W. Miles, “An axisymmetric Boussinesq wave,” J. Fluid Mech.,85, Pt. 1 (1978).

  12. F. Calogero and A. Degasperis, “Conservation laws for a nonlinear evolution equation that includes as a special case cylindrical KdV equation,” Lett. Nuovo Cim.,23, No. 4 (1978).

  13. V. S. Dryuma, “Analytical solution of the axially symmetric KdV equation,” Izv. Akad. Nauk SSSR, Ser. Fiz. Tekh. Mat. Nauk, No. 3 (1976).

  14. K. Kajiura, “The leading wave of a tsunami,” Bull. Earthq. Res. Inst.,41, 535 (1963).

    Google Scholar 

  15. L. S. Kazachenko and B. D. Khristoforov, “Surface effects in underwater explosions,” Fiz. Goreniya Vzryva,8, No. 3 (1972).

  16. K. Ko and H. H. Kuehl, “Cylindrical and spherical KdV solitary waves,” Phys. Fluids,22, No. 7 (1979).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 78–85, March–April, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dorfman, A.A., Pelinovskii, E.N. & Stepanyants, Y.A. Finite-amplitude cylindrical and spherical waves in weakly dispersive media. J Appl Mech Tech Phys 22, 206–211 (1981). https://doi.org/10.1007/BF00907948

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00907948

Keywords

Navigation