Strong instability of solitary waves for nonlinear Klein–Gordon equations and generalized Boussinesq equations

@inproceedings{Liu2007StrongIO,
  title={Strong instability of solitary waves for nonlinear Klein–Gordon equations and generalized Boussinesq equations},
  author={Yue Wei Liu and Masahito Ohta and Grozdena Todorova},
  year={2007}
}
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 reserved. Résumé On étudie des problèmes d’instabilité des ondes stationnaires pour des équations de… CONTINUE READING
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