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The soliton: A new concept in applied science
Abstract
The term soliton has recently been coined to describe a pulselike nonlinear wave (solitary wave) which emerges from a collision with a similar pulse having unchanged shape and speed. To date at least seven distinct wave systems, representing a wide range of applications in applied science, have been found to exhibit such solutions. This review paper covers the current status of soliton research, paying particular attention to the very important "inverse method" whereby the initial value problem for a nonlinear wave system can be solved exactly through a succession of linear calculations.
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Citations
Cited by
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
Quantum sine-Gordon equation as the massive Thirring model
Coleman, S. (1975) · Physical Review D · doi:10.1103/physrevd.11.2088 · Cited by 1,766
Molecular-dynamics study of a three-dimensional one-component model for distortive phase transitions
Schneider, T., & Stoll, E. (1978) · Physical Review B · doi:10.1103/physrevb.17.1302 · Cited by 1,592
Soliton operators for the quantized sine-Gordon equation
Mandelstam, S. (1975) · Physical Review D · doi:10.1103/physrevd.11.3026 · Cited by 914
Currie, J. F., Krumhansl, J. A., Bishop, A. R., & Trullinger, S. E. (1980) · Physical Review B · doi:10.1103/physrevb.22.477 · Cited by 517
Metadata
- Authors
- Scott, A. C., Chu, F. Y. F., & McLaughlin, D. W.
- Venue
- Proceedings of the IEEE
- Published
- 1973
- Volume
- 61
- Issue
- 10
- Pages
- 1443-1483
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W2141590717
- Cited by
- 1,679
- References
- 0
- FWCI
- 87.23
- Type
- journal article
- Language
- en
- Open access
- closed
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