The new structure of analytical and semi-analytical solutions of the longitudinal plasma wave equation in a magneto-electro-elastic circular rod

Authors

Jing Li, Raghda A. M. Attia, Mostafa M. A. Khater, Dianchen Lu

Abstract

This research paper extracts novel analytical and semi-analytical wave solutions of the longitudinal wave equation in a magneto-electro-elastic circular rod by using the modified Khater method as one of the most novel and general computational methods and the Adomian decomposition method as a semi-analytical method. The longitudinal waves in metallic thin films are explained for the first time by Nilsson and Lindau, who used the visual evidence. They noted subdued anomalies in the ports of thin ([Formula: see text]100 Å) Ag layers deposited on amorphous silica for p-polarized light at frequencies padlock to the dynamic plasma frequency. These properties are studied by our two suggested methods and are explained by sketching some of our obtained solutions. Moreover, the stability property is tested for our obtained solutions by using the features of the Hamiltonian system. The performance of our used methods shows the power and effectiveness of these methods and their ability to apply on many different forms of nonlinear partial differential equations.

Citation

• Journal: Modern Physics Letters B
• Year: 2020
• Volume: 34
• Issue: 12
• Pages: 2050123
• Publisher: World Scientific Pub Co Pte Ltd
• DOI: 10.1142/s0217984920501237

BibTeX

@article{Li_2020,
  title={{The new structure of analytical and semi-analytical solutions of the longitudinal plasma wave equation in a magneto-electro-elastic circular rod}},
  volume={34},
  ISSN={1793-6640},
  DOI={10.1142/s0217984920501237},
  number={12},
  journal={Modern Physics Letters B},
  publisher={World Scientific Pub Co Pte Ltd},
  author={Li, Jing and Attia, Raghda A. M. and Khater, Mostafa M. A. and Lu, Dianchen},
  year={2020},
  pages={2050123}
}

Download the bib file

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