Amplitude des oscillations d'ondes solitaires généralisées |
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Authors: | Christophe Fochesato Frédéric Dias |
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Institution: | Centre de mathématiques et de leurs applications, École normale supérieure de Cachan, 61, avenue du Président Wilson, 94235 Cachan cedex, France |
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Abstract: | Various physical systems of dispersive waves admit solutions in the form of generalized solitary waves. Such waves result from the resonance between a long localized wave and short periodic oscillations. Many estimates (rigorous and numerical) have been given for the amplitude of the ripples in the tail of the generalized solitary wave when its central part has a sech2 shape. This Note provides estimates (not yet rigorous) for the ripple amplitude when the central part is flat and wide. To cite this article: C. Fochesato, F. Dias, C. R. Acad. Sci. Paris, Ser. I 337 (2003). |
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