A Novel Approach with Time-Splitting Spectral Technique for the Coupled Schr（o）dinger-Boussinesq Equations Involving Riesz Fractional Derivative

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（9）
• 页码范围: 301-308
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/0253-6102/68/3/301

摘要

In the present paper the Riesz fractional coupled Schr(o)dinger-Boussinesq (S-B) equations have been solved by the time-splitting Fourier spectral (TSFS) method.This proposed technique is utilized for discretizing the Schr(o)dinger like equation and further,a pseudospectral discretization has been employed for the Boussinesq-like equation.Apart from that an implicit finite difference approach has also been proposed to compare the results with the solutions obtained from the time-splitting technique.Furthermore,the time-splitting method is proved to be unconditionally stable.The error norms along with the graphical solutions have also been presented here.