메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages

Analytical and numerical methods for the CMKdV-II equation

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL AND NUMERICAL METHODS; BILINEAR FORM; KORTEWEG-DE VRIES; SOLITON SOLUTIONS; TWO SOLITON SOLUTIONS;

EID: 67651202646     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2009/935030     Document Type: Article
Times cited : (3)

References (16)
  • 1
    • 0001524186 scopus 로고
    • On the change form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
    • D. J. Korteweg and G. de Vries, "On the change form of long waves advancing in a rectangular canal, and on a new type of long stationary waves," Philosophical Magazine Series, vol. 5, no. 62, pp. 422"443, 1895.
    • (1895) Philosophical Magazine Series , vol.5 , Issue.62 , pp. 422-443
    • Korteweg, D.J.1    De Vries, G.2
  • 2
    • 0024879690 scopus 로고
    • Nonlinear wave propagation in micropolar mediaI: The general theory
    • S. Erbay and E. S. Şuhubi, "Nonlinear wave propagation in micropolar media"I: the general theory," International Journal of Engineering Science, vol. 27, no. 8, pp. 895"914, 1989.
    • (1989) International Journal of Engineering Science , vol.27 , Issue.8 , pp. 895-914
    • Erbay, S.1    Uhubi, E.S.2
  • 3
    • 36749106124 scopus 로고
    • A connection between nonlinear evolution equations and ordinary differential equations of P-type-I
    • M. J. Ablowitz, A. Ramani, and H. Segur, "A connection between nonlinear evolution equations and ordinary differential equations of P-type"I," Journal of Mathematical Physics, vol. 21, no. 4, pp. 715"721, 1980.
    • (1980) Journal of Mathematical Physics , vol.21 , Issue.4 , pp. 715-721
    • Ablowitz, M.J.1    Ramani, A.2    Segur, H.3
  • 5
    • 0345756505 scopus 로고
    • Singularity analysis and its relation to complete, partial and non integrability
    • in Physics, R. Conte and N. Boccara, Eds. DKluwer Academic Publishers, Dordrecht, The Netherlands
    • M. D. Kruskal, A. Ramani, and B. Grammatikos, "Singularity analysis and its relation to complete, partial and non integrability," in Physics, R. Conte and N. Boccara, Eds., pp. 321"372, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990.
    • (1990) Physics , pp. 321-372
    • Kruskal, M.D.1    Ramani, A.2    Grammatikos, B.3
  • 6
    • 34250461398 scopus 로고
    • KdV equation: A completely integrable Hamiltonian system
    • V. E. Zakharov and L. D. Faddeev, "KdV equation: a completely integrable Hamiltonian system," Functional Analysis and Its Applications, vol. 5, no. 4, pp. 280"287, 1971.
    • (1971) Functional Analysis and Its Applications , vol.5 , Issue.4 , pp. 280-287
    • Zakharov, V.E.1    Faddeev, L.D.2
  • 8
    • 36749112076 scopus 로고
    • The Painlevé property for partial differential equations
    • J.Weiss,M. Tabor, and G. Carnevale, "The Painlevé property for partial differential equations," Journal of Mathematical Physics, vol. 24, no. 3, pp. 522"526, 1983.
    • (1983) Journal of Mathematical Physics , vol.24 , Issue.3 , pp. 522-526
    • Weiss, J.1    Tabor, M.2    Carnevale, G.3
  • 9
    • 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," Physical Review Letters, vol. 15, no. 6, pp. 240"243, 1965.
    • (1965) Physical Review Letters , vol.15 , Issue.6 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 11
    • 0002464716 scopus 로고
    • Direct methods in soliton theory
    • in R. K. Bullough, P. J. Caudrey, et al., Eds., Springer, Berlin, Germany
    • R. Hirota, "Direct methods in soliton theory," in Solitons, R. K. Bullough, P. J. Caudrey, et al., Eds., pp. 157"176, Springer, Berlin, Germany, 1980.
    • (1980) Solitons , pp. 157-176
    • Hirota, R.1    Bullough, R.K.2    Caudrey, P.J.3
  • 12
    • 0032489749 scopus 로고    scopus 로고
    • A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
    • B.-F. Feng and T. Mitsui, "A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations," Journal of Computational and Applied Mathematics, vol. 90, no. 1, pp. 95"116, 1998
    • (1998) Journal of Computational and Applied Mathematics , vol.90 , Issue.1 , pp. 95-116
    • Feng, B.-F.1    Mitsui, T.2
  • 13
    • 0037284595 scopus 로고    scopus 로고
    • A split-step fourier method for the complex modified korteweg-de vries equation
    • G. M. Muslu and H. A. Erbay, "A split-step Fourier method for the complex modi?ed Korteweg-de Vries equation," Computers & Mathematics with Applications, vol. 45, no. 1"3, pp. 503"514, 2003.
    • (2003) Computers and Mathematics with Applications , vol.45 , Issue.1-3 , pp. 503-514
    • Muslu, G.M.1    Erbay, H.A.2
  • 14
    • 18144399959 scopus 로고    scopus 로고
    • Local spectral time splitting method for first- and second-order partial differential equations
    • S. Yu, S. Zhao, and G.W.Wei, "Local spectral time splitting method for first- and second-order partial differential equations," Journal of Computational Physics, vol. 206, no. 2, pp. 727"780, 2005.
    • (2005) Journal of Computational Physics , vol.206 , Issue.2 , pp. 727-780
    • Yu, S.1    Zhao, S.2    Wei, G.W.3
  • 15
    • 10644227675 scopus 로고    scopus 로고
    • Higher-order split-step Fourier schemes for the generalized nonlinear Schröedinger equation
    • G.M.Muslu and H. A. Erbay, "Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation," Mathematics and Computers in Simulation, vol. 67, no. 6, pp. 581"595, 2005.
    • (2005) Mathematics and Computers in Simulation , vol.67 , Issue.6 , pp. 581-595
    • Muslu, G.M.1    Erbay, H.A.2
  • 16
    • 17444407059 scopus 로고    scopus 로고
    • Parallel split-step Fourier methods for the coupled non-linear Schröedinger type equations
    • T. R. Taha and X.M. Xu, "Parallel split-step Fourier methods for the coupled non-linear Schröedinger type equations," The Journal of Supercomputing, vol. 32, no. 1, pp. 5"23, 2005.
    • (2005) The Journal of Supercomputing , vol.32 , Issue.1 , pp. 5-23
    • Taha, T.R.1    Xu, X.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.