Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2025, Volume 224, Number 3, Pages 473–493
DOI: https://doi.org/10.4213/tmf10920 (Mi tmf10920) 		 
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

A. R. Adema, A. Biswasbcd, Ya. Yildirimefg

a Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa
b Department of Mathematics and Physics, Grambling State University, Grambling, LA, USA
c Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
d Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, Galati, Romania
e Department of Computer Engineering, Biruni University, Istanbul, Turkey
f Department of Mathematics, Near East University, Nicosia, Cyprus
g Faculty of Arts and Sciences, University of Kyrenia, Kyrenia, Cyprus
Full-text PDF (402 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10920
Abstract: We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry.
Keywords: quiescent solitons, metamaterials, chromatic dispersion.
Received: 03.02.2025
Revised: 13.02.2025
Published: 30.08.2025
English version:
Theoretical and Mathematical Physics, 2025, Volume 224, Issue 3, Pages 1509–1526
DOI: https://doi.org/10.1134/S0040577925090016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. R. Adem, A. Biswas, Ya. Yildirim, “Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry”, TMF, 224:3 (2025), 473–493; Theoret. and Math. Phys., 224:3 (2025), 1509–1526
Citation in format AMSBIB
\Bibitem{AdeBisYil25}
\by A.~R.~Adem, A.~Biswas, Ya.~Yildirim
\paper Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry
\jour TMF
\yr 2025
\vol 224
\issue 3
\pages 473--493
\mathnet{http://mi.mathnet.ru/tmf10920}
\crossref{https://doi.org/10.4213/tmf10920}
\transl
\jour Theoret. and Math. Phys.
\yr 2025
\vol 224
\issue 3
\pages 1509--1526
\crossref{https://doi.org/10.1134/S0040577925090016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105017861911}
Linking options:
  • https://www.mathnet.ru/eng/tmf10920
  • https://doi.org/10.4213/tmf10920
  • https://www.mathnet.ru/eng/tmf/v224/i3/p473
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025