Skip to main content
Log in

New Lattice Equation Hierarchies and Darboux Transformation

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

Abstract

A discrete integrable system and its Hamiltonian structure are generated by use of Tu model. Then, its Darboux transformation is obtained, which can get the expression of the new solutions.

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.

Similar content being viewed by others

References

  1. Tu, G.Z.: J. Phys. A: Math. Gen. 23, 303–3922 (1990)

    Google Scholar 

  2. Ablowitz, Ladik, J.J.: Math. Phys. 16, 598–603 (1975)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. Wddati, M.: Prog. Suppl. Theor. Phys. 59–36 (1976)

  4. Suris, Y.B.: Solv-int/9709005.V4 (1997)

  5. Ohta, Y., Hirota, R.: J. Phys. Soc. Jpn. 60, 2095 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  6. Blaszak, M., Marciniak, K.: J. Math. Phys. 35, 4661–4682 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. Zhu, Z.N., Zhu, Z.M., Wu, X.N., Xue, W.M.: J. Phys. Soc. Jpn. 71, 01864 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  8. Ma, W.W., Xu, X.X.: J. Phys. A Math. Gen. 37, 1323 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Ma, W.X., Xu, X.X.: Int. J. Theor. Phys. 43, 219 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. Ma, W.X., Fuchssteiner B.: Chaos Solitons Fractals 7, 1227 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  11. Ma, W.X.: Phys. Lett. A 72, 316 (2003)

    Google Scholar 

  12. Xu, X.X., Zhang, Y.F.: Theor. Commun. Phys. (Beijing) 41, 321 (2004)

    Google Scholar 

  13. Li, Z., Zhang, N., Dong, H.H.: Chaos Solitons Fractals

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ling Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, L., Dong, H. New Lattice Equation Hierarchies and Darboux Transformation. Int J Theor Phys 48, 1239–1246 (2009). https://doi.org/10.1007/s10773-008-9896-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-008-9896-6

Keywords

Navigation