Skip to main content
SpringerLink
Log in

A Super-Soliton Hierarchy and Its Super-Hamiltonian Structure

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

A super-soliton hierarchy and its super-Hamiltonian structure is obtained respectively based on Lie super-algebra and associated super-trace identity.

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

Similar content being viewed by others

References

  1. Tu, G.: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. J. Math. Phys. 30(2), 330–338 (1989)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Tu, G.: A trace identity and its application to the theory of discrete integrable systems. J. Phys. A: Math. Gen. 23, 3903–3922 (1990)

    Article  MATH  ADS  Google Scholar 

  3. Ma, W.: A new hierarchy of Liouville integrable generalized Hamiltonian equations and its reduction. Chin. J. Contemp. Math. 13(1), 79–89 (1992)

    Google Scholar 

  4. Tu, G., Ma, W.: An algebraic approach for extending Hamilton operators. J. Partial Differ. Equ. 3(2), 53–56 (1992)

    MathSciNet  Google Scholar 

  5. Guo, F.: Subalgebras of the loop algebra and integrable Hamiltonian hierarchies of equations. Acta Math. Phys. Sin. 19(5), 507–512 (1999)

    MATH  Google Scholar 

  6. Guo, F.: A hierarchy of integrable Hamiltonian equations. Acta Math. Appl. Sin. 23(2), 181–187 (2000)

    MATH  Google Scholar 

  7. Zhang, Y.: A general Boite-Pempinelli-Tu hierarchy and its bi-Hamiltonian structure. Phys. Lett. A 317(3), 280–286 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. Hu, X.: A powerful approach to generate new integrable systems. J. Phys. A 27, 2497–2514 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Zhang, Y., : A subalgebra of loop algebra and its applications. Chin. Phys. 13(2), 132–138 (2004)

    Article  ADS  Google Scholar 

  10. Fan, E.: A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem. Physica A 301, 105–113 (2001)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. Ma, W., Xu, X.: Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair. Int. J. Theor. Phys. 43, 219–236 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Guo, F., Zhang, Y.: J. Phys. A: Math. Gen. 38, 8537–8548 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  13. Ma, W., He, J.-S., Qin, Z.-Y.: A supertrace identity and its applications to superintegrable systems. J. Math. Phys. 49, 033511 (2008)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Mathematics and Information Science, Xinyang Normal University, Xinyang, 464000, China

    Zhu Li

  2. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, China

    Huanhe Dong & Hongwei Yang

Authors
  1. Zhu Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Huanhe Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hongwei Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhu Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Z., Dong, H. & Yang, H. A Super-Soliton Hierarchy and Its Super-Hamiltonian Structure. Int J Theor Phys 48, 2172–2176 (2009). https://doi.org/10.1007/s10773-009-9995-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-009-9995-z

Keywords

Search

Navigation