Instability of the Solitary Waves for the Generalized Boussinesq Equations
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Publication:3300865
DOI10.1137/18M1199198zbMath1444.35021arXiv1809.05665OpenAlexW2891242861MaRDI QIDQ3300865
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Publication date: 30 July 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.05665
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Initial value problems for higher-order hyperbolic equations (35L30) Traveling wave solutions (35C07) Higher-order semilinear hyperbolic equations (35L76)
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Cites Work
- Instability of bound states for abstract nonlinear Schrödinger equations
- Instability of solitary waves for generalized Boussinesq equations
- Stability theory of solitary waves in the presence of symmetry. II
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- Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations
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- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Purely nonlinear instability of standing waves with minimal energy
- Stability of multisolitons for the derivative nonlinear Schrödinger equation
- Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
- Strong Instability of Standing Waves for the Nonlinear Klein–Gordon Equation and the Klein–Gordon–Zakharov System
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