Abstract
In 1970, Tappert and Varma[1] showed that the behavior of heat pulse propagation in solids is governed by the nonlinear Schrödinger equation under certain conditions on phonon dispersions and lattice anharmonicity in a continuum limit. The solitary wave (soliton) solution resulting from the equation is called envelope soliton (E soliton). The real crystals, however, contain some impurities or interfaces, so that the soliton propagating in this anharmonic crystals will suffer considerable perturbation from them. In this paper, we investigate numerically the interaction of E soliton with a mass impurity and an interface in a one-dimensional nonlinear lattice.
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References
F. Tappert and C. M. Varma: Phys. Rev. Letters, 25 (1970) 1108.
T. Taniuti and N. Yajima: J. Math. Phys., 10 (1969) 1369.
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© 1976 Plenum Press, New York
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Sakuma, T., Nakayama, T., Yoshida, F. (1976). Computer-Simulated Scattering of Envelope Soliton from Impurity and Interface in a One-Dimensional Nonlinear Lattice. In: Challis, L.J., Rampton, V.W., Wyatt, A.F.G. (eds) Phonon Scattering in Solids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4271-7_15
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DOI: https://doi.org/10.1007/978-1-4613-4271-7_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4273-1
Online ISBN: 978-1-4613-4271-7
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