Abstract
An equation of Boussinesq-type of the formu tt -u xx +(f(u)+uxx)xx=0 is considered. It is shown that a traveling wave may be stable or unstable, depending on the range of the wave's speed of propagation and on the nonlinearity. Sharp conditions to that effect are given.
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This research is supported in part by NSF Grant DMS 90-23864.
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Liu, Y. Instability of solitary waves for generalized Boussinesq equations. J Dyn Diff Equat 5, 537–558 (1993). https://doi.org/10.1007/BF01053535
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DOI: https://doi.org/10.1007/BF01053535