The fractional modified Zakharov system for plasmas with a quantum correction

Advances in Difference Equations

Shaomei Fang¹  Lang Li¹  Lingyu Jin¹  Changping Xie¹ 

[1] Department of Applied Mathematics, South China Agricultural University, Guangzhou, China

关键词: fractional modified Zakharov system;    Galerkin method;    quantum correction;   

DOI  :  10.1186/s13662-015-0716-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the fractional modified Zakharov system with a quantum correction. This system can be regarded as a generalization of the Garcia model to the fractional order. By the properties of the fractional Sobolev spaces and a priori estimates, we overcome the mathematical difficulty arising in the fractional model and establish the global existence and uniqueness of the solution.

【 授权许可】

CC BY