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Volumn 61, Issue 2, 2000, Pages

Self-similarity and fractals in soliton-supporting systems

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; NONLINEAR OPTICS;

EID: 0001016215     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.R1048     Document Type: Article
Times cited : (86)

References (17)
  • 5
    • 85036228430 scopus 로고    scopus 로고
    • E. Infeld and G. Rowlands, Nonlinear Waves, Solitons, and Chaos (Cambridge University Press, Cambridge, England, 1990), Chap. 5 (in particular, p. 127)
    • E. Infeld and G. Rowlands, Nonlinear Waves, Solitons, and Chaos (Cambridge University Press, Cambridge, England, 1990), Chap. 5 (in particular, p. 127).
  • 6
    • 85036196879 scopus 로고
    • edited by G. P. Agrawal and R. W. Boyd, Academic Press, San Diego, Chap. 2
    • G. P. Agrawal, Contemporary Nonlinear Optics, edited by G. P. Agrawal and R. W. Boyd (Academic Press, San Diego, 1992), Chap. 2.
    • (1992) Contemporary Nonlinear Optics
    • Agrawal, G.P.1
  • 9
    • 85036349499 scopus 로고    scopus 로고
    • We use the term “soliton” in conjunction with self-trapped wave-packets, i.e., the broader definition of solitons that includes these in non-integrable systems, as spelled out first by J. S. Russell in 1834 and recently by V. E. Zakharov and B. A. Malomed, in Physical Encyclopedia, edited by A. M. Prokhorov (Great Russian Encyclopedia, Moscow, 1994)
    • We use the term “soliton” in conjunction with self-trapped wave-packets, i.e., the broader definition of solitons that includes these in non-integrable systems, as spelled out first by J. S. Russell in 1834 and recently by V. E. Zakharov and B. A. Malomed, in Physical Encyclopedia, edited by A. M. Prokhorov (Great Russian Encyclopedia, Moscow, 1994).
  • 10
    • 85036241715 scopus 로고    scopus 로고
    • J. S. Russell, in 14th Meeting of the British Association Reports, York, 1844
    • J. S. Russell, in 14th Meeting of the British Association Reports, York, 1844.
  • 15
    • 0007151177 scopus 로고    scopus 로고
    • but it is universal and applies to all solitons
    • The term “soliton existence curve” was coined for photorefractive screening solitons [M. Segev, M. Shih, and G. C. Valley, J. Opt. Soc. Am. B 13, 706 (1996)], but it is universal and applies to all solitons.
    • (1996) J. Opt. Soc. Am. B , vol.13 , pp. 706
    • Segev, M.1    Shih, M.2    Valley, G.C.3
  • 17
    • 85036402371 scopus 로고    scopus 로고
    • This paper was initially submitted to Science magazine in January 1999. It was rejected based on the argument that this “interesting paper should be published in a Physics journal, such as PRL. In the meantime, we have found a way to generate exact (regular) fractals that form an exact Cantor set. These results will appear in S. Sears, M. Soljacic, M. Segev, D. Krylow, and K. Bergman, Phys. Rev. Lett. (to be published)
    • This paper was initially submitted to Science magazine in January 1999. It was rejected based on the argument that this “interesting paper should be published in a Physics journal, such as PRL. In the meantime, we have found a way to generate exact (regular) fractals that form an exact Cantor set. These results will appear in S. Sears, M. Soljacic, M. Segev, D. Krylow, and K. Bergman, Phys. Rev. Lett. (to be published).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.