Existence and stability of modulating pulse-solutions in a phenomenological model of nonlinear optics |
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Authors: | Guido Schneider |
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Affiliation: | Mathematisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany |
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Abstract: | Modulating pulse-solutions consist of a pulse-like envelope advancing in the laboratory frame and modulating an underlying spatially and temporarily oscillating wave train. Such solutions play a big role in nonlinear optics, where information is transported as pulse-like modulations of an underlying electromagnetic wave. For a phenomenological model we prove criteria for the existence and asymptotic stability of such solutions in terms of the coefficients of the associated equation for the envelope. |
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Keywords: | Modulating pulse-solutions Nonlinear optics Electromagnetic waves |
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