Towards Soliton Computer Based on Solitary Wave Solution of Maxwell-Dirac Equation: A Plausible Alternative to Manakov System

Authors

  • Victor Christianto Malang Institute of Agriculture (IPM), Malang, Indonesia.
  • Florentin Smarandache Dept. Mathematics and Sciences, University of New Mexico, Gallup – USA.

DOI:

https://doi.org/10.48165/bpas.2023.42D.1.1

Keywords:

Soliton computation, Manakov soliton, Choquard equation, computation

Abstract

 In recent years, there are a number of proposals to consider collision-based soliton  computer based on certain chemical reactions, namely Belousov-Zhabotinsky reaction,  which leads to soliton solutions of coupled Nonlinear Schroedinger equations. They are  called Manakov System. But it seems to us that such a soliton computer model can also  be based on solitary wave solution of Maxwell-Dirac equation, which reduces to  Choquard equation. And soliton solution of Choquard equation has been investigated  by many researchers, therefore it seems more profound from physics perspective.  However, we consider both schemes of soliton computer are equally possible. More  researches are needed to verify our proposition. 

References

Bonnie and Bill Kath (1998). Making Waves: solitons and their optical applications. SIAM News, 31(2). URL: https://www.scholars.northwestern.edu/en/publications/making-waves-solitons-and-their optical-applications

Darren Rand, Ken Steiglitz and Paul R. Prucnal (2005). Signal Standardization in Collision-based Soliton Computing. Int. J. Unconventional Computing, 1, 31-45. [2a] See also: N.A. Silva et al. (2021). Reservoir computing with solitons. New Journal of Physics. Vol. 23. url: https://iopscience.iop.org/article/10.1088/1367-2630/abda84

Darren Rand, Ken Steiglitz (2018). Computing with solitons. Unconventional Computing, 2018. URL: https://link.springer.com/referenceworkentry/10.1007/978-1-4939-6883-1_92

M. Jakubowsky, Ken Steiglitz, Richard Squier (2015). Computing with Classical Soliton Collisions. 5. Victor Christianto & Florentin Smarandache (2017). A Cellular Automaton Molecular Model based on Wave Equation: An Alternative to Cellular Automata QM. viXra ref.: https://vixra.org/pdf/1707.0036v1.pdf

Andrew Comech & David Stuart (2012). Small amplitude solitary waves in the Dirac-Maxwell system. arXiv: 1210.7261v3.

Vitaly Moroz & Jean Van Schaftingen (2016). A guide to the Choquard equation. arXiv: 1606.02518 [math.AP]

M.J. Ablowitz, B. Prinari & A.D. Trubatch (2004). Integrable Nonlinear Schrodinger Systems and their Soliton Dynamics. Dynamics of PDE, 1(3), 239-299.

M. Vijayajayanthia, T. Kannab, M. Lakshmananc, K. Murali (2015). Explicit construction of single input - single output logic gates from three soliton solution of Manakov system. arXiv: 1510, 02878 [nlin.SI]

Downloads

Published

2023-06-17

Issue

Vol. 42 No. 1 (2023): Bulletin of Pure and Applied Science-Physics (Jan-Jun) 2023

Section

Articles

How to Cite

Towards Soliton Computer Based on Solitary Wave Solution of Maxwell-Dirac Equation: A Plausible Alternative to Manakov System . (2023). Bulletin of Pure and Applied Sciences – Physics, 42(1), 1–5. https://doi.org/10.48165/bpas.2023.42D.1.1