Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation;Stabilité asymptotique des ondes solitaires del l'équation de Benjamin-Bona-Mahony

Comptes Rendus Mathematique

Volumn 337, Issue 10, 2003, Pages 649-652

  El Dika, Khaled ^a  

^a UNIVERSITÉ PARIS SUD   (France)

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[No Author keywords available]

Indexed keywords

EID: 0346343593     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.10.003     Document Type: Article

References (7)

1. T.B. Benjamin, J.L. Bona, J.J. Mahony, Model equations for long waves in nonlinear dispersive systems, Philos. Trans. Roy. Soc. London Ser. A 272 (1220) (1972) 47-78.
2. J.L. Bona, A. Soyeur, On the stability of solitary-waves solutions of model equations for long waves, J. Nonlinear Sci. 4 (5) (1994) 449-470.
3. K. El Dika, Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation, en préparation.
4. Y. Martel, F. Merle, A Liouville theorem for the critical generalized Korteweg-de Vries equation, J. Math. Pures Appl. (9) 79 (4) (2000) 339-425.
5. Y. Martel, F. Merle, Asymptotic stability of solitons for subcritical generalized KdV equations, Arch. Rational Mech. Anal. 157 (3) (2001) 219-254.
6. J.R. Miller, M.I. Weinstein, Asymptotic stability of solitary waves for the regularized long-wave equation, Comm. Pure Appl. Math. 49 (4) (1996) 399-441.
7. M.I. Weinstein, Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation, Comm. Partial Differential Equations 12 (10) (1987) 1133-1173.