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Volumn 137, Issue 1, 2007, Pages 133-146

Long-time persistence of Korteweg-de Vries solitons as transient dynamics in a model of inclined film flow

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EID: 33947598679     PISSN: 03082105     EISSN: 14737124     Source Type: Journal    
DOI: 10.1017/S0308210505001113     Document Type: Article
Times cited : (20)

References (17)
  • 2
    • 0000363750 scopus 로고
    • The stability of solitary waves
    • T. B. Benjamin. The stability of solitary waves. Proc. R. Soc. Lond. A 328 (1972), 153-183.
    • (1972) Proc. R. Soc. Lond. A , vol.328 , pp. 153-183
    • Benjamin, T.B.1
  • 3
    • 0000133747 scopus 로고
    • On the stability theory of solitary waves
    • J. Bona. On the stability theory of solitary waves. Proc. R. Soc. Lond. A 344 (1975), 363-374.
    • (1975) Proc. R. Soc. Lond. A , vol.344 , pp. 363-374
    • Bona, J.1
  • 4
    • 33645419839 scopus 로고    scopus 로고
    • Stability of solitary waves in higher-order Sobolev spaces
    • J. L. Bona, Y. Liu and N. V. Nguyen. Stability of solitary waves in higher-order Sobolev spaces. Commun. Math. Sci. 2 (2004), 35-52.
    • (2004) Commun. Math. Sci , vol.2 , pp. 35-52
    • Bona, J.L.1    Liu, Y.2    Nguyen, N.V.3
  • 5
    • 0040358180 scopus 로고    scopus 로고
    • Solitary wave formation and dynamics on falling films
    • H.-C. Chang and E. A. Demekhin. Solitary wave formation and dynamics on falling films. Adv. Appl. Mech. 32 (1996), 1-58.
    • (1996) Adv. Appl. Mech , vol.32 , pp. 1-58
    • Chang, H.-C.1    Demekhin, E.A.2
  • 7
    • 0000128696 scopus 로고    scopus 로고
    • Local stability theory of solitary pulses in an active medium
    • H.-C. Chang, E. A. Demekhin and D. I. Kopelevich. Local stability theory of solitary pulses in an active medium. Physica D 97 (1996), 353-375.
    • (1996) Physica D , vol.97 , pp. 353-375
    • Chang, H.-C.1    Demekhin, E.A.2    Kopelevich, D.I.3
  • 8
    • 0032139836 scopus 로고    scopus 로고
    • Generation and suppression of radiation by solitary pulses
    • H.-C. Chang, E. A. Demekhin and E. Kalaidin. Generation and suppression of radiation by solitary pulses. SIAM J. Appl. Math. 58 (1998), 1246-1277.
    • (1998) SIAM J. Appl. Math , vol.58 , pp. 1246-1277
    • Chang, H.-C.1    Demekhin, E.A.2    Kalaidin, E.3
  • 9
    • 51249165861 scopus 로고
    • Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis
    • N. M. Ercolani, D. W. McLaughlin and H. Roitner. Attractors and transients for a perturbed periodic KdV equation: a nonlinear spectral analysis. J. Nonlin. Sci. 3 (1993), 477-539.
    • (1993) J. Nonlin. Sci , vol.3 , pp. 477-539
    • Ercolani, N.M.1    McLaughlin, D.W.2    Roitner, H.3
  • 10
    • 84990616663 scopus 로고
    • On the stability of KdV multi-solitons
    • J. H. Maddocks and R. L. Sachs. On the stability of KdV multi-solitons. Commun. Pure Appl. Math. 46 (1993), 867-901.
    • (1993) Commun. Pure Appl. Math , vol.46 , pp. 867-901
    • Maddocks, J.H.1    Sachs, R.L.2
  • 11
    • 84972517890 scopus 로고
    • Travelling wave solutions to a perturbed Korteweg-de Vries equation
    • T. Ogawa. Travelling wave solutions to a perturbed Korteweg-de Vries equation. Hiroshima Math. J. 24 (1994), 401-422.
    • (1994) Hiroshima Math. J , vol.24 , pp. 401-422
    • Ogawa, T.1
  • 12
    • 0031119008 scopus 로고    scopus 로고
    • On the spectra of pulses in a nearly integrable system
    • T. Ogawa and H. Susuki. On the spectra of pulses in a nearly integrable system. SIAM J. Appl. Math. 57 (1997), 485-500.
    • (1997) SIAM J. Appl. Math , vol.57 , pp. 485-500
    • Ogawa, T.1    Susuki, H.2
  • 13
    • 21844510556 scopus 로고
    • Asymptotic stability of solitary waves
    • R. L. Pego and M. I. Weinstein. Asymptotic stability of solitary waves. Commun. Math. Phys. 164 (1994), 305-349.
    • (1994) Commun. Math. Phys , vol.164 , pp. 305-349
    • Pego, R.L.1    Weinstein, M.I.2
  • 14
    • 84967679600 scopus 로고    scopus 로고
    • Local in time and space nonlinear stability of pulses in an unstable medium
    • World Scientific
    • G. Schneider, R. L. Pego and H. Uecker. Local in time and space nonlinear stability of pulses in an unstable medium. In Proc. XIVth Int. Congr. Mathematical Physics, pp. 296-303 (World Scientific, 2005).
    • (2005) Proc. XIVth Int. Congr. Mathematical Physics , pp. 296-303
    • Schneider, G.1    Pego, R.L.2    Uecker, H.3
  • 15
    • 0017930245 scopus 로고
    • Approximate equations for long nonlinear waves on a viscous fluid
    • J. Topper and T. Kawahara. Approximate equations for long nonlinear waves on a viscous fluid. J. Phys. Soc. Jpn 44 (1978), 663-666.
    • (1978) J. Phys. Soc. Jpn , vol.44 , pp. 663-666
    • Topper, J.1    Kawahara, T.2
  • 16
    • 0042977371 scopus 로고    scopus 로고
    • Approximation of the integral boundary layer equation by the Kuramoto-Sivashinsky equation
    • H. Uecker. Approximation of the integral boundary layer equation by the Kuramoto-Sivashinsky equation. SIAM J. Appl. Math. 63 (2003), 1359-1377.
    • (2003) SIAM J. Appl. Math , vol.63 , pp. 1359-1377
    • Uecker, H.1
  • 17
    • 33846361348 scopus 로고
    • Interactions of solitons in a collisionless plasma and the recurrence of initial states
    • N. J. Zabusky and M. D. Kruskal. Interactions 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.