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.
|Journal||Physica Status Solidi (B): Basic Research|
|State||Published - Jan 2023|
Bibliographical noteFunding 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.
© 2022 The Authors. physica status solidi (b) basic solid state physics published by Wiley-VCH GmbH.
- Josephson transmission line
- dark solitons
- nonlinear Schrodinger equation