Skip to main content
SpringerLink
Log in

New Exact Solutions of the (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Veselov System

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

Abstract

Using symbolic and algebra computation, the extended tanh-function method (ETM) based on mapping method is further extended. The new variable separation solutions of the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) system are derived.

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. Tang, X.Y., Lou, S.Y., Zhang, Y.: Phys. Rev. E 66, 046601 (2002) (and references therein)

    Article  MathSciNet  ADS  Google Scholar 

  2. Zheng, C.L., Fang, J.P., Chen, L.Q.: Znaturforsch 59a, 912 (2004)

    Google Scholar 

  3. Dai, C.Q., Zhou, G.Q., Zhang, J.F.: Chaos Solitons Fractals 33, 1458 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  4. Dai, C.Q., Liu, F.Q., Zhang, J.F.: Novel types of interactions between solitons in the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system. Chaos Solitons Fractals (2006). doi:10.1016/j.chaos.2006.06.070

    Google Scholar 

  5. Zhu, H.P., Fang, J.P., Zheng, C.L.: Commun. Theor. Phys. 45, 127 (2006)

    Article  MathSciNet  Google Scholar 

  6. Dai, C.Q., Yan, C.J., Zhang, J.F.: Commun. Theor. Phys. 46, 389 (2006)

    MathSciNet  Google Scholar 

  7. Dai, C.Q., Zhang, J.F.: J. Math. Phys. 47, 043501 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  8. Fang, J.P., Zheng, C.L.: Chin. Phys. 14, 669 (2005)

    Article  ADS  Google Scholar 

  9. Fang, J.P., Ren, Q.B., Zheng, C.L.: Znaturforsch 60a, 245 (2005)

    Google Scholar 

  10. Zhu, H.P., Zheng, C.L., Fang, J.P.: Phys. Lett. A 355, 39 (2006)

    Article  ADS  Google Scholar 

  11. Dai, C.Q., Zhou, G.Q.: Chin. Phys. 16, 1201 (2007)

    Article  ADS  Google Scholar 

  12. Dai, C.Q., Zong, F.D., Zhang, J.F.: Int. J. Theor. Phys. 45, 813 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  13. Dai, C.Q., Chen, R.P.: Znaturforsch 61a, 307 (2006)

    Google Scholar 

  14. Dai, C.Q., Ni, Y.Z.: Phys. Scr. 74, 584 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. Dai, C.Q.: Phys. Scr. 75, 310 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  16. Boiti, M., Leon, J.J.P., Manna, M., Pempinelli, F.: Inverse Probl. 2, 271 (1986)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. Lou, S.Y., Hu, X.B.: J. Math. Phys. 38, 6401 (1997)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  18. Estévez, P.G., Leble, S.: Inverse Probl. 11, 925 (1996)

    Article  Google Scholar 

  19. Ablowitz, M.J., Clarkson, P.A.: In: Solitons, Nonlinear Evolution Equations and Inverse Scattering. Lecture Notes Series, vol. 149. Cambridge University Press, Cambridge (1991)

    Google Scholar 

  20. Leble, S.B., Ustinov, N.V.: Inverse Probl. 10, 617 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  21. Hirota, R., Satsuma, J.: J. Phys. Soc. Jpn. 40, 611 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  22. Hu, H.C., Tang, X.Y., Lou, S.Y., Liu, Q.P.: Chaos Solitons Fractals 22, 327 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  23. Arai, A.: J. Math. Anal. Appl. 158, 63 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  24. Li, B., Chen, Y., Zhang, H.Q.: Czech. J. Phys. 53, 283 (2003)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Sciences, Zhejiang Forestry University, Linan, 311300, People’s Republic of China

    Chao-Qing Dai, Sheng-Sheng Wu & Xu Cen

Authors
  1. Chao-Qing Dai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sheng-Sheng Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xu Cen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chao-Qing Dai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dai, CQ., Wu, SS. & Cen, X. New Exact Solutions of the (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Veselov System. Int J Theor Phys 47, 1286–1293 (2008). https://doi.org/10.1007/s10773-007-9562-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-007-9562-4

Keywords

Search

Navigation