Abstract
Asymptotic properties of a real scalar self-interacting classical field depending on one variablez = t 2−x 2 are studied. The fieldϕ(z) approaches a minimum of the potentialU(ϕ) for z → + ∞ and a maximum forz→−∞ ifU(ϕ(0)) is larger than two minima and smaller than two maxima ofU neighbouring toϕ(0).
Similar content being viewed by others
References
Barone A., Esposito F., Magee C. J., Scott A. C.. Rivista Nuovo Cimento1 (1971) 227.
Amsler M. -H.: Math. Annalen130 (1955) 234.
Lamb G. L., Jr.: Phys. Lett.29A (1969) 507;
Burnham D. C., Chiao R. Y.: Phys. Rev.188 (1969) 667;
Arecchi F. T., Courtens E.: Phys. Rev. A2 (1970) 1730.
Mel'nikov V. K.: Matematicheskii sbornik49 (1959) 353.
Forsyth A. R.: Theory of differential equations, Dover, New York, 1959, Part II, Art. 212.
Derrick G. H.: J. Math. Phys.5 (1964) 1252.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dittrich, J. Lorentz-symmetric solutions of nonlinear equations. Czech J Phys 32, 625–627 (1982). https://doi.org/10.1007/BF01596705
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01596705