Instability of solitary waves for generalized Boussinesq equations. (English) Zbl 0784.34048
A nonlinear equation of Boussinesq type is considered. It is investigated the stability of the solitary wave solutions proving that a traveling wave may be stable or unstable, depending on the range of the wave’s speed of propagation and on the nonlinearity.
Reviewer: G.Aniculaesei (Iaşi)
MSC:
| 34G20 | Nonlinear differential equations in abstract spaces |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35G10 | Initial value problems for linear higher-order PDEs |
| 35K25 | Higher-order parabolic equations |
| 35L75 | Higher-order nonlinear hyperbolic equations |
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