Interaction of nonlinear waves governed by Boussinesq equation |
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| Institution: | 1. Fraunhofer Institute for Structural Durability and System Reliability (LBF), Division Plastics, Schlossgartenstraße 6, 64289 Darmstadt, Germany;2. SKZ – German Plastics Center, Friedrich-Bergius-Ring 22, 97076 Würzburg, Germany;3. BASF Schweiz AG, GKC/B, R1059.4.08, 4002 Basel, Switzerland;1. DWI – Leibniz Institute for Interactive Materials e.V;2. Institute for Technical and Macromolecular Chemistry, RWTH Aachen University, Forckenbeckstr. 50, D-52056 Aachen, Germany;3. Department of Plastic, Hand- and Reconstructive Surgery, Hannover Medical School, Carl-Neuberg-Str. 1, D-30625 Hannover, Germany;4. Aquatic Ecology and Centre for Water and Environmental Research (ZWU), University of Duisburg-Essen, Universitätstr. 5, D-45141 Essen, Germany;5. Zschimmer & Schwarz Mohsdorf GmbH & Co KG, Chemnitztalstrasse 1, D-09217 Burgstädt, Germany;6. Technical Chemistry I and Center for Nanointegration Duisburg-Essen (CENIDE), University of Duisburg-Essen, Universitätsstr. 5-7, D-45141 Essen, Germany;1. Group of Chemical and Environmental Engineering, Rey Juan Carlos University, Mostoles 28933, Madrid, Spain;2. Centro de Tecnología REPSOL, Ctra de Extremadura, Km. 18, 28931 Madrid, Spain;3. Max-Planck-Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany;1. Department of Chemical Engineering, University of Texas at Austin, Austin, TX, USA;2. Membrane Technology and Research Inc., Newark, CA, USA;3. Department of Chemical and Biological Engineering, University at Buffalo, The State University of New York, Buffalo, NY, USA;1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;2. Department of Civil and Environmental Engineering, University of Houston, Houston, TX 77204-4003, USA |
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| Abstract: | In the present work, the nonlinear interactions of two acoustical waves governed by the Boussinesq equation with different wave numbers, frequencies and the group velocities are examined. For that purpose, we used the reductive perturbation method and obtained the coupled nonlinear Schrödinger equations. The nonlinear plane wave solution to these equations are given for some special cases. |
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