Abstract
We consider an application of the asymptotic method of nonlinear mechanics to the construction of an approximate solution of the Klein-Gordon equation.
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References
G. B. Whitham,Linear and Nonlinear Waves, Wiley, New York (1974).
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N. N. Bogolyubov and Yu. A. Mitropol'skii,Asymptotic Methods in Nonlinear Oscillation Theory [in Russian], Nauka, Moscow (1974).
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Translated from Ukrainskii Matematicheskii Zhumal, Vol. 47, No. 9, pp. 1209–1216, September, 1995.
This research is partially supported by the International Soros Foundation for Support of Education Program in Natural Sciences.
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Mitropol'skii, Y.A. On construction of asymptotic solution of the perturbed Klein-Gordon equation. Ukr Math J 47, 1378–1386 (1995). https://doi.org/10.1007/BF01057512
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DOI: https://doi.org/10.1007/BF01057512