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Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves |
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| Authors: | Martina Chirilus-Bruckner Guido Schneider Hannes Uecker |
| Affiliation: | a Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany b Institut für Mathematik, Universität Oldenburg, D-26111 Oldenburg, Germany |
| Abstract: | We give a detailed analysis of the interaction of two NLS-described wave packets with different carrier waves for a nonlinear wave equation. By separating the internal dynamics of each wave packet from the dynamics caused by the interaction we prove that there is almost no interaction of such wave packets. We also prove the validity of a formula for the envelope shift caused by the interaction of the wave packets. |
| Keywords: | Approximation Nonlinear optics Modulation equations |
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