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Volumn 38, Issue 3, 1998, Pages 597-611

A numerical method for the Benjamin-Ono equation

Author keywords

Benjamin Ono equation; Finite differences; Periodic; Quadrature

Indexed keywords


EID: 0039596680     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510262     Document Type: Article
Times cited : (37)

References (12)
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    • (1989) Physica D , vol.40 , pp. 360-392
    • Abdelouhab, L.1    Bona, J.L.2    Felland, M.3    Saut, J.-C.4
  • 2
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    • Solving the systems of equations arising in the discretization of some nonlinear PDE's by implicit Runge-Kutta methods
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    • (1979) RAIRO Modél. Math. Anal. Numér , vol.31 , pp. 251-288
    • Akrivis, G.1    Dougalis, V.A.2    Karakashian, O.3
  • 3
    • 84902775564 scopus 로고
    • Internal waves of permanent form in fluids of great depth
    • T. B. Benjamin, Internal waves of permanent form in fluids of great depth, J. Fluid Mech., 29 (1967), pp. 559-592.
    • (1967) J. Fluid Mech. , vol.29 , pp. 559-592
    • Benjamin, T.B.1
  • 5
    • 0041037636 scopus 로고
    • Properties of the Benjamm-Ono equation, 3
    • K. M. Case, Properties of the Benjamm-Ono equation, 3. Math. Phys, 20 (1979), pp. 972-977.
    • (1979) Math. Phys , vol.20 , pp. 972-977
    • Case, K.M.1
  • 6
    • 0000267836 scopus 로고
    • On the Cauchy problem for the Benjamin-Ono equation
    • R. J. Iório, Jr., On the Cauchy problem for the Benjamin-Ono equation, Comm. P.D.E., 11 (1986), pp. 1031-1081.
    • (1986) Comm. P.D.E. , vol.11 , pp. 1031-1081
    • Iório R.J., Jr.1
  • 7
    • 0039596687 scopus 로고
    • Pseudospectral methods for the Benjamin-Ono equation
    • R. Vichnevetsky, D. Knight, and G. Richter (eds.), IMACS, Brunswick N.J.
    • R. L. James and J. A. C. Weideman, Pseudospectral methods for the Benjamin-Ono equation, in Advances in Computer Methods for Partial Differential Equations VII, R. Vichnevetsky, D. Knight, and G. Richter (eds.), IMACS, Brunswick N.J., 1992, pp. 371-377.
    • (1992) Advances in Computer Methods for Partial Differential Equations VII , pp. 371-377
    • James, R.L.1    Weideman, J.A.C.2
  • 8
    • 0040782431 scopus 로고
    • A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation
    • T. Miloh, M. Prestin, L. Shtilman, and M. P. Tulin, A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation, Wave Motion, 17 (1993), pp. 1-10.
    • (1993) Wave Motion , vol.17 , pp. 1-10
    • Miloh, T.1    Prestin, M.2    Shtilman, L.3    Tulin, M.P.4
  • 9
    • 0016459710 scopus 로고
    • Algebraic solitary waves in stratified fluids
    • H. Ono, Algebraic solitary waves in stratified fluids, 3. Phys. Soc. Japan, 39 (1975), pp. 1082-1091.
    • (1975) Phys. Soc. Japan , vol.39 , pp. 1082-1091
    • Ono, H.1
  • 12
    • 33846361348 scopus 로고
    • Interaction of "solitons" In a collisionless plasma and the recurrence of initial states
    • N. J. Zabusky and M. D. Kruskal, Interaction of "solitons" in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett., 15 (1965), pp. 240-243.
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.