Spectral Stability of Stationary Solutions of a Boussinesq System Describing Long Waves in Dispersive Media

DOI10.1137/090779929zbMath1300.35090OpenAlexW2074311494MaRDI QIDQ3587496

Crystal W. Lee, Nghiem V. Nguyen, Christopher W. Curtis, Min Chen, Bernard Deconinck

Publication date: 8 September 2010

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090779929

zbMATH Keywords

solitary wavesBoussinesq systemspectral stabilitywater wavescnoidal wavestransverse perturbation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Soliton solutions (35C08)

Related Items (12)

Global existence and decay rate of the Boussinesq-Burgers system with large initial data ⋮ Superharmonic instability for regularized long-wave models* ⋮ The Boussinesq systems on the background of a line solitary wave ⋮ The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations ⋮ Asymptotic linear stability of Benney–Luke line solitary waves in 2D ⋮ Stability of Benney--Luke Line Solitary Waves in 2 Dimensions ⋮ Global existence and asymptotic behavior of the Boussinesq-Burgers system ⋮ The effect of perturbed advection on a class of solutions of a non-linear reaction-diffusion equation ⋮ Linear Stability of Solitary Waves for the One‐Dimensional Benney–Luke and Klein–Gordon Equations ⋮ On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations ⋮ Spectral stability of one-dimensional reaction-diffusion equation with symmetric and asymmetric potential ⋮ Global dynamics of the Boussinesq‐Burgers system with large initial data

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