Skip to main content
SpringerLink
Log in

Complete list of first integrals of dynamic equations for a multidimensional solid in a nonconservative field

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

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. S. V. Manakov, Funktsion. Analiz Prilozh. 10(4), 93 (1976).

    MATH  MathSciNet  Google Scholar 

  2. A. P. Veselov, Dokl. Akad. Nauk 270(6), 1298 (1983).

    MathSciNet  Google Scholar 

  3. O. I. Bogoyavlenskii, Dokl. Akad. Nauk 287(5), 1105 (1986).

    ADS  MathSciNet  Google Scholar 

  4. M. V. Shamolin, Vestn. MSU Ser. Mat. Mekh., No. 1, 52 (1992).

    Google Scholar 

  5. M. V. Shamolin, Method of Analysis of Dynamic Sets with Variable Dissipation in Dynamics of Solid (Ekzamen, Moscow, 2007) [in Russian].

    Google Scholar 

  6. M. V. Shamolin, Dokl. Phys. 44(2), 110 (1999).

    ADS  MathSciNet  Google Scholar 

  7. M. V. Shamolin, Dokl. Phys. 45(11), 632 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  8. M. V. Shamolin, Dokl. Phys. 54(3), 155 (2009).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. M. V. Shamolin, in Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. i ee Prilozh. (Moscow, 2013), pp. 5–254 [in Russian].

    Google Scholar 

  10. V. V. Trofimov and A. T. Fomenko, Algebra and Geometry of Integrable Hamiltonian Differential Equations (Faktorial, Moscow, 1995) [in Russian].

    MATH  Google Scholar 

  11. M. V. Shamolin, Dokl. Phys. 58(11), 496 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  12. M. V. Shamolin, Dokl. Phys. 59(8), 375 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  13. S. A. Chaplygin, “About motion of heavy solids in an incompressible liquid,” in Complete Collection of Works (Izd-vo AN SSSR, Leningrad, 1933), Vol. 1, pp. 133–135 [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute of Mechanics, Moscow State University, Moscow, 117192, Russia

    M. V. Shamolin

Authors
  1. M. V. Shamolin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. V. Shamolin.

Additional information

Original Russian Text © M.V. Shamolin, 2015, published in Doklady Akademii Nauk, 2015, Vol. 461, No. 5, pp. 533–536.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shamolin, M.V. Complete list of first integrals of dynamic equations for a multidimensional solid in a nonconservative field. Dokl. Phys. 60, 183–187 (2015). https://doi.org/10.1134/S1028335815040060

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335815040060

Keywords

Search

Navigation