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Literature Cited
V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, The Theory of Solitons. The Inverse Scattering Method, Nauka, Moscow (1980).
M. Toda, Theory of Nonlinear Lattices, Springer Series in Solid-State Sciences, Vol. 20, Springer, Berlin (1981).
R. I. Yamilov, Usp. Mat. Nauk,38, 155 (1983).
V. P. Maslov, Operator Methods [in Russian], Nauka, Moscow (1973).
A. Jeffrey and T. Kawahara, Asymptotic Methods in Nonlinear Wave Theory. Pitman Advanced Publ. Progr. (1982).
V. P. Maslov, Resonance Processes in Wave Theory and Self-Focalization [in Russian], MIEM, Moscow (1983).
L. A. Kalyakin, Dokl. Akad. Nauk SSSR,228, 809 (1986).
M. J. Ablowitz and J. F. Ladic, J. Math. Phys.,17, 1011 (1976).
V. Yu. Novokshenov, in: Integrable Systems, published by the Bashkir Branch of the USSR Academy of Sciences, Ufa (1982), p. 45.
L. V. Ovsyannikov, N. I. Makarenko, V. I. Nalimov, et al., Nonlinear Problems of the Theory of Surface and Internal Waves [in Russian], Nauka, Novosibirsk (1985).
S. A. Vakulenko, Zap. Nauchn. Semin. LOMI,104, 84 (1981).
L. A. Takhtadzhyan and L. D. Faddeev, Hamiltonian Approach in Soliton Theory [in Russian], Nauka, Moscow (1986).
V. E. Zakharov and E. A. Kuznetsov, Physica (Utrecht) D,18, 455 (1986).
Additional information
Department of Physics and Mathematics with Computational Center, Bashkir Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 76, No. 3, pp. 323–327, September, 1988.
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Kalyakin, L.A. Asymptotic transitions from discrete to continuous models. Theor Math Phys 76, 891–894 (1988). https://doi.org/10.1007/BF01016850
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DOI: https://doi.org/10.1007/BF01016850