Strong instability of solitary-wave solutions for a nonlinear Boussinesq equation

DOI10.1016/j.na.2007.07.006zbMath1151.35415OpenAlexW2027154232MaRDI QIDQ938723

Ying Wang, Jing Deng, Chun-Lai Mu

Publication date: 27 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.006

zbMATH Keywords

Boussinesq equationsolitary waveblow-upstrong instability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)

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Cites Work

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• Instability of solitary waves for generalized Boussinesq equations
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• Solitary longitudinal waves in an inhomogeneous nonlinearly elastic rod
• Decay and scattering of small solutions of a generalized Boussinesq equation
• Strong instability of solitary-wave solutions of a generalized Boussinesq equation
• Commutator estimates and the euler and navier-stokes equations
• Eigenvalues, and instabilities of solitary waves
• Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation

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