Version 1
: Received: 26 September 2022 / Approved: 30 September 2022 / Online: 30 September 2022 (03:52:42 CEST)
How to cite:
Ene, R.-D.; Pop, N.; Lapadat, M.; Dungan, L. Approximate Closed-form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method. Preprints2022, 2022090474. https://doi.org/10.20944/preprints202209.0474.v1
Ene, R.-D.; Pop, N.; Lapadat, M.; Dungan, L. Approximate Closed-form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method. Preprints 2022, 2022090474. https://doi.org/10.20944/preprints202209.0474.v1
Ene, R.-D.; Pop, N.; Lapadat, M.; Dungan, L. Approximate Closed-form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method. Preprints2022, 2022090474. https://doi.org/10.20944/preprints202209.0474.v1
APA Style
Ene, R. D., Pop, N., Lapadat, M., & Dungan, L. (2022). Approximate Closed-form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method. Preprints. https://doi.org/10.20944/preprints202209.0474.v1
Chicago/Turabian Style
Ene, R., Marioara Lapadat and Luisa Dungan. 2022 "Approximate Closed-form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method" Preprints. https://doi.org/10.20944/preprints202209.0474.v1
Abstract
This work emphasizes some geometrical properties of the Maxwell--Bloch equations. Based on these properties the closed-form solutions of their equations are established. Thus, the Maxwell-Bloch equations are reduced to a nonlinear differential equation depending on an auxiliary unknown function. The approximate analytical solutions were built using the Optimal Homotopy Asymptotic Method (OHAM). A good agreement between the analytical and corresponding numerical results was found. The accuracy of the obtained results is validated through the representative figures. This procedure could be successfully applied for more dynamical systems with geometrical properties.
Computer Science and Mathematics, Computational Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.