Skip to main content
Log in

Evolution of nonlinear waves in a dissipative medium with dispersion

  • 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. D. J. Korteweg and Hugo deVries, “On the change of form of long waves advancing in a rectangular canal and a new type of long solitary waves,” Philos. Mag., Ser. 5,39 (1895).

  2. V. I. Karpman, Nonlinear Waves in Dispersive Media [in Russian], Izd-vo Novosibirsk Gos. Un-ta, Novosibirsk (1968).

    Google Scholar 

  3. B. B. Kadomtsev and V. I. Karpman, “Nonlinear waves,” Usp. Fiz. Nauk,103, No. 2 (1971).

  4. E. Ott and R. N. Sudan, “Nonlinear theory of ion acoustic waves with Landau damping,” Phys. Fluids,12, No. 11 (1969).

  5. A. P. Burdukov, V. E. Nakoryakov, B. P. Pokusaev, V. V. Sobolev, and I. R. Shreiber, Some Problems of the Gas Dynamics of a Homogeneous Model of a Biphasic Medium [in Russian], Novosibirsk (1971); in: Numerical Methods in the Mechanics of a Continuous Medium [in Russian], Vol. 2, No. 5, Izd-vo VTs, Sibirsk. Otd., Akad. Nauk SSSR, Novosibirsk (1971).

  6. E. N. Pelinovskii, “Absorption of nonlinear waves in dispersive media,” Zh. Prikl. Mekh. i Tekh. Fiz., No. 2 (1971).

  7. E. Ott and R. N. Sudan, “Damping of solitary waves,” Phys. Fluids,13, No. 6, 1432 (1970).

    Google Scholar 

  8. V. E. Zakharov, “Dissipative instability of light waves in nonlinear dielectrics,” ZhÉTF Pis. Red.,7, No. 8 (1968).

  9. S. S. Moiseev and R. Z. Sagdeev, “Baume's coefficient of diffusion,” Zh. Éksper. i Teor. Fiz.,44, No. 2 (1963).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 59–64 (1973).

The author thanks S. L. Musher for helpful discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sobolev, V.V. Evolution of nonlinear waves in a dissipative medium with dispersion. J Appl Mech Tech Phys 14, 344–348 (1973). https://doi.org/10.1007/BF00850947

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00850947

Keywords

Navigation