Nonlinear scattering for some dispersive equations generalizing Benjamin-Bona-Mahony equation

DOI10.1007/BF01298454zbMath0867.35010MaRDI QIDQ1921389

Grzegorz Karch, Jacek Dziubański

Publication date: 14 August 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

zbMATH Keywords

stationary phase methoddispersive equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Scattering theory for PDEs (35P25)

Cites Work

• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• Nonlocal dispersive equations in weighted Sobolev spaces
• Nonlinear small data scattering for the generalized Korteweg-de Vries equation
• Instability of a class of dispersive solitary waves
• Scattering of small solutions to generalized benjamin-bona-mahony equation in several space dimensions

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