On the numerical investigation of the interaction in plasma between (high & low) frequency of (Langmuir & ion-acoustic) waves

• Main Authors: Mostafa M.A. Khater, Raghda A.M. Attia, Choonkil Park, Dianchen Lu
• Format: Article
• Language: English
• Published: Elsevier 2020-09-01
• Series: Results in Physics
• Subjects: The Zakharov equation in the dimensionless form; Langmuir waves; Ion-acoustic waves; Numerical schemes; B-spline schemes
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379720317848

In this paper, the Zakharov (Z.) equation in the dimensionless form is numerically investigated via (Cubic & Quantic & Septic) B-spline schemes to demonstrate the fidelity of the calculated computational solutions. The Z equation depicts the interaction in plasma between (high & low) frequency of (Langmuir & ion-acoustic) waves. This interaction is expounded in the prompts of the coastal engineering, electromagnetic field, signal handling in the optical fibres, plasma physics, and fluid dynamics. Three different computational schemes were applied to the Z equation for constructing many novel analytical solutions. In our paper, we try to check the accuracy of these solutions via the above-mentioned numerical schemes. Moreover, some separate sketches are given to indicate more physical features of this interaction. The originality of the obtained solutions is investigated by showing the similarities and differences between our obtained solutions and that was purchased in previously published papers.