Long Vector Solitary Waves in a Dielectric Medium
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概要
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By making use of a naïve model of nonlinear dielectric medium, the propagation of electromagnetic waves with long wave length is investigated. By the reductive perturbation method, the equation governing it has been derived, which takes the form of a vector type of modified KdV equation. Based upon this equation, we have considered the behaviors of nonlinear waves. It is found that this equation has a vector type of dark solitary wave solution in addition to a scalar type of bright or dark solitary wave solutions. The weak modulation of the wave train solution is described by the coupled nonlinear Schrödinger equation and shows the nonlinear rotation of the principal axes of the elliptically polarized wave.
- Physical Society of Japanの論文
- 2001-12-15
著者
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Ono Hiroaki
Department of Mathematics and Physics, Setsunan University, Neyagawa, Osaka 572-8508
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Ono Hiroaki
Department of Chemistry, Faculty of Science, Hiroshima University
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- Long Vector Solitary Waves in a Dielectric Medium