Instability of the Solitary Waves for the Generalized Boussinesq Equations
نویسندگان
چکیده
منابع مشابه
Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations
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.
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2020
ISSN: 0036-1410,1095-7154
DOI: 10.1137/18m1199198