Global flow generated by coupled system of Schrödinger-BBM equations |
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Authors: | Boling Guo Changxing Miao Haiyang Huang |
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Institution: | (1) Centre for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China;(2) Mathematics Department, Beijing Normal University, 100088 Beijing, China |
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Abstract: | The Cauchy problem for Schrödinger-BBM type coupled equations is studied, which approximately describes the nonlinear dynamics of one-dimensional Langmuir and ion-acoustic waves. Global well-posedness of the problem is proved in space L2 × L2 and H1 × H1 under suitable conditions. |
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Keywords: | Cauchy problem Schr?dinger-BBM equations global flow |
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