Skip to main content
Log in

Study of the Thomas Equation: A More General Transformation (Auto–Backlund Transformation) and Exact Solutions

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

The famous Thomas equation, which arises in the study of chemical exchange processes, is investigated. A more general transformation (called auto-Backlund transformation), which contains the Thomas-Rosales transformation and the Wei-Gao-Zhang transformation, is presented. Based on the general transformation, we may find more information about this equation. Particularly some new exact solutions are found from the special form of the obtained transformation.

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. W. Hereman et al.: J. Phys. A 19 (1986) 607.

    Google Scholar 

  2. D. Zwillinger: Handbook of Differential Equations, Academic Press, San Diego, 1989.

    Google Scholar 

  3. R. Rosales: Stud. Appl. Math. 59 (1978) 111.

    Google Scholar 

  4. G.M. Wei et al.: Czech. J. Phys. 52 (2002) 749.

    Google Scholar 

  5. Z.Y. Yan and H.Q. Zhang: J. Phys. A: Math. Gen. 34 (2001) 1785.

    Google Scholar 

  6. Z.Y. Yan: Commun. Theor. Phys. 36 (2001) 135.

    Google Scholar 

  7. Z.Y. Yan and H.Q. Zhang: Commun. Nonlin. Sci. Numer. Simul. 4 (1999) 146.

    Google Scholar 

  8. Z.Y. Yan and H.Q. Zhang: Acta Phys. Sin. 48 (1999) 1962.

    Google Scholar 

  9. Z.Y. Yan and H.Q. Zhang: Commun. Theor. Phys. 34 (2000) 365. 300 Czech. J. Phys. 53 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yan, Z. Study of the Thomas Equation: A More General Transformation (Auto–Backlund Transformation) and Exact Solutions. Czechoslovak Journal of Physics 53, 297–300 (2003). https://doi.org/10.1023/A:1023440326176

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023440326176

Navigation