Abstract
We obtain formulas allowing us to find solutions of the Toda chain using the inverse scattering transform method and investigate the t→∞ asymptotic behavior of the solutions.
Similar content being viewed by others
References
H. Flashka,Phys. Rev.,139, 1924–1925 (1974).
H. Flashka,Progr. Theor. Phys.,51, 703–716 (1974).
S. V. Manakov,JETP,40, 269–274 (1974).
M. Toda,Theory of Nonlinear Lattices, Springer, Berlin (1981).
E. Ya. Khruslov,Mat. Sb.,99, 261–281 (1976).
V. L. Vereshchagin,Theor. Math. Phys.,111, 658–666 (1997).
I. A. Anders and V. P. Kotlyarov,Theor. Math. Phys. 88, 725–734 (1991).
G. Sh. Guseinov,Sov. Math. Dokl.,17, 1684–1688 (1977).
I. M. Guseinov,Diff. Uravn.,21, 1993–1995 (1985).
Author information
Authors and Affiliations
Additional information
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, No. 3, pp. 429–440, June, 1999
Rights and permissions
About this article
Cite this article
Guseinov, I.M., Khanmamedov, A.K. Thet→∞ asymptotic regime of the Cauchy problem solution for the Toda chain with threshold-type Initial data. Theor Math Phys 119, 739–749 (1999). https://doi.org/10.1007/BF02557384
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02557384