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Prog. Theor. Phys. Vol. 49 No. 4 (1973) pp. 1121-1129
Wave Modulations in Anharmonic Diatomic Lattices
Akira Tsurui
Department of Applied Mathematics and Physics, Faculty of Engineering, Kyoto University, Kyoto
(Received October 2, 1972)
Abstract:
Time evolution of nonlinearly modulated waves in one-dimensional diatomic anharmonic lattice is considered. Using the perturbation method established by Taniuti and Yajima, we derive equations to determine how the slowly varying parts of the modulated wave behave in the lowest order of asymptotic expansion. One interesting result is that even the modulated wave of the optical mode brings about one more slowly varying wave in the same order as the envelope ones, and this wave has a great influence on the modulational instabilities of plane waves.
URL :
http://ptp.ipap.jp/link?PTP/49/1121/
DOI : 10.1143/PTP.49.1121
References:
- S. C. Lowell, Proc. R. Soc. A 318 (1970), 93.
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F. D. Tappert and C. M. Varma, Phys. Rev. Lett. 25 (1970), 1108[APS].
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T. Taniuti and N. Yajima, J. Math. Phys. 10 (1969), 1369[CrossRef].
- V. I. Karpman and E. M. Krushkal, Sov. Phys. -JETP 28 (1969), 277.
V. E. Zakharov and A. B. Shabat, Sov. Phys. -JETP 34 (1972), 62.
Citing Article(s) :
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Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 370-378
:
-
Soliton Solutions in a Diatomic Lattice System
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Nobuo Yajima and Junkichi Satsuma
