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Volumn 65, Issue 4, 2002, Pages

Continuum approach to discreteness

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM APPROXIMATION; CONTINUUM EQUATIONS; DISCRETENESS; PADÉ APPROXIMATION;

EID: 41349084168     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.046613     Document Type: Article
Times cited : (100)

References (70)
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    • P. G. Kevrekidis and M. I. Weinstein (unpublished)
    • P. G. Kevrekidis and M. I. Weinstein (unpublished).
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    • 0000785129 scopus 로고
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    • (1989) Phys. Rev. B , vol.39 , pp. 361
    • Boesch, R.1    Willis, C.R.2
  • 35
    • 25344470446 scopus 로고
    • R. Boesch and C.R. Willis, Phys. Rev. B 39, 361 (1989); 42, 371 (1990); R. Boesch, P. Standoff, and C.R. Willis, ibid. 38, 6713 (1988); R. Boesch, C.R. Willis, and M. El-Batanouny, ibid. 40, 2284 (1989).
    • (1990) Phys. Rev. B , vol.42 , pp. 371
  • 36
    • 0001547666 scopus 로고
    • R. Boesch and C.R. Willis, Phys. Rev. B 39, 361 (1989); 42, 371 (1990); R. Boesch, P. Standoff, and C.R. Willis, ibid. 38, 6713 (1988); R. Boesch, C.R. Willis, and M. El-Batanouny, ibid. 40, 2284 (1989).
    • (1988) Phys. Rev. B , vol.38 , pp. 6713
    • Boesch, R.1    Standoff, P.2    Willis, C.R.3
  • 37
    • 0000801397 scopus 로고
    • R. Boesch and C.R. Willis, Phys. Rev. B 39, 361 (1989); 42, 371 (1990); R. Boesch, P. Standoff, and C.R. Willis, ibid. 38, 6713 (1988); R. Boesch, C.R. Willis, and M. El-Batanouny, ibid. 40, 2284 (1989).
    • (1989) Phys. Rev. B , vol.40 , pp. 2284
    • Boesch, R.1    Willis, C.R.2    El-Batanouny, M.3
  • 49
    • 0000340720 scopus 로고
    • See, i.e., Eqs. (15a)-(15c) of P. Rosenau, Phys. Rev. A 40, 7193 (1989); Eqs. (3c) and (3d) ibid. 46, R7371 (1992); as well as the work of C.R. Doering, P.S. Hagan, and P. Rosenau, ibid. 36, 985 (1987).
    • (1989) Phys. Rev. A , vol.40 , pp. 7193
    • Rosenau, P.1
  • 50
    • 0007263367 scopus 로고
    • See, i.e., Eqs. (15a)-(15c) of P. Rosenau, Phys. Rev. A 40, 7193 (1989); Eqs. (3c) and (3d) ibid. 46, R7371 (1992); as well as the work of C.R. Doering, P.S. Hagan, and P. Rosenau, ibid. 36, 985 (1987).
    • (1992) Phys. Rev. A , vol.46
  • 51
    • 0009513988 scopus 로고
    • See, i.e., Eqs. (15a)-(15c) of P. Rosenau, Phys. Rev. A 40, 7193 (1989); Eqs. (3c) and (3d) ibid. 46, R7371 (1992); as well as the work of C.R. Doering, P.S. Hagan, and P. Rosenau, ibid. 36, 985 (1987).
    • (1987) Phys. Rev. A , vol.36 , pp. 985
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  • 56
    • 0000427638 scopus 로고
    • Recently, it was brought to our attention by P. Rosenau that he considered expressions of the form of Eq. (19) in Prog. Theor. Phys. 79, 1028 (1988). The latter considerations were not motivated by continued fraction generalizations but rather by the necessity to treat anomalous effects in the dispersion relation arising, for example, in the case where next nearest neighbor interactions are present. In this case, the regularization led to equations with sixth-order mixed derivatives (fourth order in space and second order in time).
    • (1988) Prog. Theor. Phys. , vol.79 , pp. 1028


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