The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Perturbation analysis of fluxon dynamics
Abstract
A two-stage scheme is presented to study structural perturbations of the sine-Gordon equation. Although the method is based upon the inverse scattering transform, detailed knowledge of this technical apparatus is not necessary in order to effect the calculations. In the first stage, slow modulations of speeds and positions for the soliton components are computed. The radiation resulting from the acceleration of the solitons is then calculated as a first-order correction through an easily constructed radiative Green's function. The method is exemplified by using it to study several outstanding problems that arise in applications of the Josephson transmission line. In particular we consider: (i) the pinning of flux quanta by microshorts, (ii) the quantum flux shuttle, (iii) annihilation conditions for fluxon-antifluxon collisions, (iv) breather decay, and (v) radiation from a moving fluxon.
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Cites
Methods of Theoretical Physics
Morse, P. M., Feshbach, H., & Hill, E. L. (1954) · American Journal of Physics · doi:10.1119/1.1933765 · Cited by 13,197
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
Ablowitz, M. J., Kaup, D. J., Newell, A. C., & Segur, H. (1974) · Studies in Applied Mathematics · doi:10.1002/sapm1974534249 · Cited by 3,187
The soliton: A new concept in applied science
Scott, A. C., Chu, F. Y. F., & McLaughlin, D. W. (1973) · Proceedings of the IEEE · doi:10.1109/proc.1973.9296 · Cited by 1,679
Self-citationAnalytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant Medium
LAMB, G. L. (1971) · Reviews of Modern Physics · doi:10.1103/revmodphys.43.99 · Cited by 946
Theory and applications of the sine-gordon equation
Barone, A., Esposito, F., Magee, C. J., & Scott, A. C. (1971) · La Rivista del Nuovo Cimento · doi:10.1007/bf02820622 · Cited by 455
Self-citationNonlinear Schrödinger equation including growth and damping
Pereira, N. R., & Stenflo, L. (1977) · The Physics of Fluids · doi:10.1063/1.861773 · Cited by 328
Dynamics of sine-Gordon solitons in the presence of perturbations
Fogel, M. B., Trullinger, S. E., Bishop, A. R., & KRUMHANSL, J. A. (1977) · Physical review. B, Solid state · doi:10.1103/physrevb.15.1578 · Cited by 276
Single vortex propagation in Josephson tunnel junctions
Fulton, T. A., & Dynes, R. C. (1973) · Solid State Communications · doi:10.1016/0038-1098(73)90345-1 · Cited by 213
The flux shuttle—A Josephson junction shift register employing single flux quanta
Fulton, T. A., Dynes, R. C., & Anderson, P. W. (1973) · Proceedings of the IEEE · doi:10.1109/proc.1973.8966 · Cited by 132
A Green’s function for a linear equation associated with solitons
Keener, J. P., & McLaughlin, D. W. (1977) · Journal of Mathematical Physics · doi:10.1063/1.523174 · Cited by 55
Self-citation
Cited by
Solitons in condensed matter: A paradigm
Bishop, A. R., Krumhansl, J. A., & Trullinger, S. E. (1980) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(80)90003-2 · Cited by 296
Hu, X., & Lin, S.-Z. (2010) · Superconductor Science and Technology · doi:10.1088/0953-2048/23/5/053001 · Cited by 111
Metadata
- Authors
- McLaughlin, D. W., & Scott, A. C.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1978-10-01
- Volume
- 18
- Issue
- 4
- Pages
- 1652-1680
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2017397470
- Cited by
- 1,071
- References
- 10
- FWCI
- 14.16
- Type
- journal article
- Language
- en
- Open access
- closed
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