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Global flow generated by coupled system of Schrödinger-BBM equations
Authors:Boling Guo  Changxing Miao  Haiyang Huang
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
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.
Keywords:Cauchy problem  Schr?dinger-BBM equations  global flow
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