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

Chunxiao  Guo; Fan  Cui; Yongqian  Han

doi:10.3934/dcdss.2016070

Article Contents

2016, Volume 9, Issue 6: 1687-1699. Doi: 10.3934/dcdss.2016070

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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
2.
Department of Mathematical science, Tsinghua University, Beijing 100084
3.
Institute of Applied Physics and Computational Mathematics, Beijing 100088

Received: April 30, 2015

Revised: August 31, 2016

Published: November 2016

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Abstract

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.

Keywords:

Fractional Schrödinger-KdV-Burgers system,
a priori estimate,
contraction method,
regularity.

Mathematics Subject Classification: Primary: 26A33; Secondary: 35Q53, 35Q55.

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