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Volumn 102, Issue 2-3, 1999, Pages 139-154

An efficient numerical method for solving the Korteveg-de Vries equation in a class of discontinuous functions

Author keywords

Korteveg de Vries; Solitary waves; Travelling waves

Indexed keywords


EID: 0038667172     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10022-X     Document Type: Article
Times cited : (14)

References (17)
  • 1
    • 0041534988 scopus 로고
    • Korteveg-de Vries equation in vortex dynamics of an ultraclean type II superconductor
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    • Coffey, M.W.1
  • 2
    • 33846361348 scopus 로고
    • Interaction of solitons in collisionless plasma and the recurrence of initial states
    • Zabusky N.J., Kruskal M.D. Interaction of solitons in collisionless plasma and the recurrence of initial states. Phys. Rev. Lett. 15:1965;240-243.
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 4
    • 84980193643 scopus 로고
    • The KdV equation and generalizations, methods for exact solutions
    • G.S. Gardner, The KdV equation and generalizations, methods for exact solutions, Commun. Pure Appl. Math. 27 (1974) 97-133.
    • (1974) Commun. Pure Appl. Math. , vol.27 , pp. 97-133
    • Gardner, G.S.1
  • 5
    • 84981754671 scopus 로고
    • Integrals of nonlinear equations of evolution and solitary waves
    • Lax P.D. Integrals of nonlinear equations of evolution and solitary waves. Commun. Pure Appl. Math. 11:1968;167-190.
    • (1968) Commun. Pure Appl. Math. , vol.11 , pp. 167-190
    • Lax, P.D.1
  • 6
    • 0002557939 scopus 로고
    • Exact theory of two-dimensional self focusing and one dimensional self modulation of waves in nonlinear media
    • B.E. Zakharov, A.B. Shabat, Exact theory of two-dimensional self focusing and one dimensional self modulation of waves in nonlinear media, Sov. Phys. J.E.T.P. 34 (1971) 62-69.
    • (1971) Sov. Phys. J.E.T.P. , vol.34 , pp. 62-69
    • Zakharov, B.E.1    Shabat, A.B.2
  • 12
    • 85040804842 scopus 로고
    • Cambridge University Press, Cambridge, London
    • P.G. Drazin, Solitons, Cambridge University Press, Cambridge, London, 1983.
    • (1983) Solitons
    • Drazin, P.G.1
  • 14
    • 0003323682 scopus 로고
    • Numerical studies of solitons
    • in: A.R. Bishop, T. Schneider, Springer, Berlin
    • J.C. Eilbeck, P.S. Lomdahl, Numerical studies of solitons, in: A.R. Bishop, T. Schneider, Springer Series in Solid-State Sciences, vol. 8, Springer, Berlin, 1978.
    • (1978) Springer Series in Solid-State Sciences , vol.8
    • Eilbeck, J.C.1    Lomdahl, P.S.2
  • 16
    • 0012462573 scopus 로고
    • On a method of solving the Cauchy Problem for a first order nonlinear equation of hyperbolic type with a smooth initial condition
    • M.A. Rasulov, On a method of solving the Cauchy Problem for a first order nonlinear equation of hyperbolic type with a smooth initial condition, Sov. Math. Dok. 43 (1) (1991).
    • (1991) Sov. Math. Dok. , vol.43 , Issue.1
    • Rasulov, M.A.1
  • 17
    • 0001524186 scopus 로고
    • On the change of form of long waves advancing in a rectangular channel and a new type of long stationary waves
    • Korteveg D.J., de Vries G. On the change of form of long waves advancing in a rectangular channel and a new type of long stationary waves. Phil. Mag. 5(39):1895;422-443.
    • (1895) Phil. Mag. , vol.5 , Issue.39 , pp. 422-443
    • Korteveg, D.J.1    De Vries, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.