Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations
نویسندگان
چکیده
We study here instability problems of standing waves for the nonlinear Klein-Gordon equations and solitary waves for the generalized Boussinesq equations. It is shown that those special wave solutions may be strongly unstable by blowup in finite time, depending on the range of the wave’s frequency or the wave’s speed of propagation and on the nonlinearity.
منابع مشابه
Strong instability of solitary waves for nonlinear Klein–Gordon equations and generalized Boussinesq equations Instabilité forte d’ondes solitaires pour des équations de Klein–Gordon non linéaires et des équations généralisées de Boussinesq
We study here instability problems of standing waves for the nonlinear Klein–Gordon equations and solitary waves for the generalized Boussinesq equations. It is shown that those special wave solutions may be strongly unstable by blowup in finite time, depending on the range of the wave’s frequency or the wave’s speed of propagation and on the nonlinearity. © 2006 Elsevier Masson SAS. All rights...
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