On generalized Benjamin type equations

DOI10.3934/dcds.2005.12.161zbMath1086.35094OpenAlexW2063894021MaRDI QIDQ1770129

Marcia Scialom, Felipe Linares

Publication date: 9 April 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.12.161

zbMATH Keywords

well-posednessgeneralized Korteweg-de Vries equationnonlinear dispersive equationssurface-tensionBenjamin equationBO equationexistence and stability of solitary wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)

Related Items (12)

Stability of solitary waves and weak rotation limit for the Ostrovsky equation ⋮ The Cauchy problem for the generalized Ostrovsky equation with negative dispersion ⋮ Energy-preserving algorithms for the Benjamin equation ⋮ On the propagation of regularity and decay of solutions to the Benjamin equation ⋮ Control and stabilization for the dispersion generalized Benjamin equation on the circle ⋮ Numerical approximation to Benjamin type equations. Generation and stability of solitary waves ⋮ Sharp well-posedness for the Benjamin equation ⋮ Global smoothing for the periodic Benjamin equation in low-regularity spaces ⋮ Global well-posedness of the two-dimensional Benjamin equation in the energy space ⋮ Numerical approximation of solitary waves of the Benjamin equation ⋮ On the controllability and stabilization of the Benjamin equation on a periodic domain ⋮ Unnamed Item

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