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Volumn 21, Issue 16, 1998, Pages 1467-1477

Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; SURFACE WAVES; WATER WAVES;

EID: 0032202875     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19981110)21:16<1467::AID-MMA968>3.0.CO;2-K     Document Type: Article
Times cited : (25)

References (9)
  • 1
    • 34250086052 scopus 로고
    • Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
    • Bona, J. L. and Sachs, R. L., 'Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation', Commum. Math. Phys., 118, 15-29 (1988).
    • (1988) Commum. Math. Phys. , vol.118 , pp. 15-29
    • Bona, J.L.1    Sachs, R.L.2
  • 2
    • 84990616652 scopus 로고
    • Inverse scattering and the Boussinesq equation
    • Deift, P., Tomei, C. and Trubowitz, E., 'Inverse scattering and the Boussinesq equation', Commun. Pure Appl. Math., 35, 567-628 (1982).
    • (1982) Commun. Pure Appl. Math. , vol.35 , pp. 567-628
    • Deift, P.1    Tomei, C.2    Trubowitz, E.3
  • 3
    • 0002554581 scopus 로고
    • The occurrence of collapse for quasilinear equation of parabolic and hyperbolic types
    • Kalantarov, V. K. and Ladyzhenskaya, O. A., 'The occurrence of collapse for quasilinear equation of parabolic and hyperbolic types', J. Sov. Math., 10, 53-70 (1978).
    • (1978) J. Sov. Math. , vol.10 , pp. 53-70
    • Kalantarov, V.K.1    Ladyzhenskaya, O.A.2
  • 4
    • 0000019045 scopus 로고
    • Global existence of small solutions for a generalized Boussinesq equation
    • Linares, F., 'Global existence of small solutions for a generalized Boussinesq equation', J. Diff. Equations, 106, 257-293 (1993).
    • (1993) J. Diff. Equations , vol.106 , pp. 257-293
    • Linares, F.1
  • 6
    • 84963388462 scopus 로고
    • On the blow-up of certain solutions of the 'good' Boussinesq equation
    • Sachs, R. L., 'On the blow-up of certain solutions of the 'good' Boussinesq equation', Appl. Anal., 36, 145-152 (1990).
    • (1990) Appl. Anal. , vol.36 , pp. 145-152
    • Sachs, R.L.1
  • 7
    • 0013026602 scopus 로고
    • Global existence and asymptotic stability for a semilinear hyperbolic Volterra equation with large initial data
    • William, J. H., 'Global existence and asymptotic stability for a semilinear hyperbolic Volterra equation with large initial data', SIAM J. Math. Anal., 16(1), 110-134 (1985).
    • (1985) SIAM J. Math. Anal. , vol.16 , Issue.1 , pp. 110-134
    • William, J.H.1
  • 8
    • 33846361348 scopus 로고
    • Interaction of 'solitons' in a collisionless plasma and the recurrence of initial states
    • Zabusky, N. J. and Kruskal, M. D., 'Interaction of 'solitons' in a collisionless plasma and the recurrence of initial states', Phys. Rev. Lett., 15, 240-243 (1965).
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 9
    • 0009976566 scopus 로고    scopus 로고
    • Blowup of solutions for a class of generalized Boussinesq equations
    • Zhijian, Y. and Guowang, C., 'Blowup of solutions for a class of generalized Boussinesq equations', Acta Math. Sci. (in Chinese), 16(1), 31-40 (1996).
    • (1996) Acta Math. Sci. (in Chinese) , vol.16 , Issue.1 , pp. 31-40
    • Zhijian, Y.1    Guowang, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.