Abstract
We study ground-state traveling wave solutions of a fourth-order wave equation. We find conditions on the speed of the waves which imply stability and instability of the solitary waves. The analysis depends on the variational characterization of the ground states rather than information about the linearized operator.
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Levandosky, S. Stability and Instability of Fourth-Order Solitary Waves. Journal of Dynamics and Differential Equations 10, 151–188 (1998). https://doi.org/10.1023/A:1022644629950
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DOI: https://doi.org/10.1023/A:1022644629950