American Institute of Mathematical Sciences

December  2016, 9(6): 1687-1699. doi: 10.3934/dcdss.2016070

Global existence and uniqueness of the solution for the fractional Schrödinger-KdV-Burgers system

 1 Department of Mathematics, China University of Mining and Technology Beijing, Beijing 100083, China 2 Department of Mathematical science, Tsinghua University, Beijing 100084, China 3 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received  May 2015 Revised  September 2016 Published  November 2016

In this paper, we consider a fractional Schrödinger-KdV-Burgers system. First, the local existence and uniqueness of solution is obtained by contraction method. Then by some a priori estimates, global existence and uniqueness of smooth solution for this system is proved. Moreover, the regularity of the solution is improved.
Citation: Chunxiao Guo, Fan Cui, Yongqian Han. Global existence and uniqueness of the solution for the fractional Schrödinger-KdV-Burgers system. Discrete & Continuous Dynamical Systems - S, 2016, 9 (6) : 1687-1699. doi: 10.3934/dcdss.2016070
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