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Volumn 17, Issue 4, 1996, Pages 389-402

Global dynamics of dissipative generalized korteweg-de vries equations

Author keywords

Dissipative generalized KdV equation; Global dynamics; Inertial manifold; Soliton

Indexed keywords


EID: 21444440027     PISSN: 02529599     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (11)
  • 2
    • 0001119719 scopus 로고
    • The initial-value problem for the Korteweg-de Vries equations
    • Bona, J. L. & Smith, R., The initial-value problem for the Korteweg-de Vries equations, Philos. Trans. Roy. Soc. London, Ser. A, 278 (1975), 555-604.
    • (1975) Philos. Trans. Roy. Soc. London, Ser. A , vol.278 , pp. 555-604
    • Bona, J.L.1    Smith, R.2
  • 3
    • 0000640733 scopus 로고
    • Inertial manifolds for nonlinear evolutionary equations
    • Foias, C., Sell, G. R. & Temam, R., Inertial manifolds for nonlinear evolutionary equations, J. Diff. Eqns., 73 (1988), 309-353.
    • (1988) J. Diff. Eqns. , vol.73 , pp. 309-353
    • Foias, C.1    Sell, G.R.2    Temam, R.3
  • 4
    • 0000616385 scopus 로고
    • Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
    • Ghidaglia, J. M., Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time, J. Diff. Eqns., 74 (1988), 369-390.
    • (1988) J. Diff. Eqns. , vol.74 , pp. 369-390
    • Ghidaglia, J.M.1
  • 5
    • 0000985657 scopus 로고
    • Weak non-linear hydromagnetic waves in a cold collison-free plasma
    • Kakutani, T. & Ono, H., Weak non-linear hydromagnetic waves in a cold collison-free plasma, J. Phys. Soc. Japan, 26 (1969), 1305-1318.
    • (1969) J. Phys. Soc. Japan , vol.26 , pp. 1305-1318
    • Kakutani, T.1    Ono, H.2
  • 6
    • 0001524186 scopus 로고
    • On the change of forms of long waves advancing in a rectangular channel and on a new type of long stationary wave
    • Korteweg, D. & de Vries, G., On the change of forms of long waves advancing in a rectangular channel and on a new type of long stationary wave, Phil. Mag., 39 (1895), 422-443.
    • (1895) Phil. Mag. , vol.39 , pp. 422-443
    • Korteweg, D.1    De Vries, G.2
  • 7
    • 84980148156 scopus 로고
    • Periodic solutions of the KdV equations
    • Lax, P. D., Periodic solutions of the KdV equations, Comm. Pur Appl. Math., 28 (1975), 141-188.
    • (1975) Comm. Pur Appl. Math. , vol.28 , pp. 141-188
    • Lax, P.D.1
  • 9
    • 0016973738 scopus 로고
    • The Korteweg-de Vries equations: A survey of results
    • Miura, R. M., The Korteweg-de Vries equations: a survey of results, SIAM Review, 18, (1976), 412-459.
    • (1976) SIAM Review , vol.18 , pp. 412-459
    • Miura, R.M.1
  • 10
    • 38249012311 scopus 로고
    • Inertial manifolds: The non-self-adjoint case
    • Sell, G. R. & You, Y., Inertial manifolds: the non-self-adjoint case, J. Diff. Eqns., 96: 2(1992), 203-255.
    • (1992) J. Diff. Eqns. , vol.96 , Issue.2 , pp. 203-255
    • Sell, G.R.1    You, Y.2
  • 11
    • 33846361348 scopus 로고
    • Interaction of solitons in a collisionless plasma and the recurrence of initial states
    • Zabusky, N. J. & Kruskal, M. D., Interaction of solitons in a 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.