Modulated Harmonic Wave in Series-Connected Discrete Josephson Transmission Line: The Discrete Calculus Approach

Eugene Kogan

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The modulated harmonic wave in the discrete series-connected Josephson transmission line (JTL) is considered. The approach to the modulation problems for discrete wave equations based on discrete calculus is formulated. The approach is checked by applying it to the Fermi–Pasta–Ulam–Tsingou (FPUT) -type problem. Applying the approach to the discrete JTL, the equation describing the modulation amplitude is obtained, which turns out to be the defocusing nonlinear Schrödinger (NLS) equation. The profile of the single soliton solution of the NLS is compared with that of the soliton obtained in the previous publication.

Original languageEnglish
Article number2200403
JournalPhysica Status Solidi (B): Basic Research
Volume260
Issue number1
DOIs
StatePublished - Jan 2023

Bibliographical note

Funding Information:
The author is grateful to M. Goldstein, G. James, and B. Malomed for their insightful comments. The author is also very grateful to the anonymous Referees. The work on the problem was initiated by the author's participation in the workshop Coherent Structures: Current Developments and Future Challenges on July 4–8 @ Oort. The author would like to express his gratitude to the Lorentz Center for the hospitality and for the stimulating atmosphere. Open Access funding enabled and organized by Projekt DEAL.

Publisher Copyright:
© 2022 The Authors. physica status solidi (b) basic solid state physics published by Wiley-VCH GmbH.

Keywords

  • Josephson transmission line
  • dark solitons
  • nonlinear Schrodinger equation

Fingerprint

Dive into the research topics of 'Modulated Harmonic Wave in Series-Connected Discrete Josephson Transmission Line: The Discrete Calculus Approach'. Together they form a unique fingerprint.

Cite this