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.
Similar content being viewed by others
References
W. Hereman et al.: J. Phys. A 19 (1986) 607.
D. Zwillinger: Handbook of Differential Equations, Academic Press, San Diego, 1989.
R. Rosales: Stud. Appl. Math. 59 (1978) 111.
G.M. Wei et al.: Czech. J. Phys. 52 (2002) 749.
Z.Y. Yan and H.Q. Zhang: J. Phys. A: Math. Gen. 34 (2001) 1785.
Z.Y. Yan: Commun. Theor. Phys. 36 (2001) 135.
Z.Y. Yan and H.Q. Zhang: Commun. Nonlin. Sci. Numer. Simul. 4 (1999) 146.
Z.Y. Yan and H.Q. Zhang: Acta Phys. Sin. 48 (1999) 1962.
Z.Y. Yan and H.Q. Zhang: Commun. Theor. Phys. 34 (2000) 365. 300 Czech. J. Phys. 53 (2003)
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1023/A:1023440326176