Instability of solitary waves of two-dimensional Benjamin equation

In this paper, we study instability of solitary wave solutions of the generalized two space-dimensional Benjamin equation (u(t) + u(xxx) - beta Hu(xx) + (u(p))(x))(x) = u(yy). This equation governs the evolution of waves at the interface of a two-fluid system in which surface-tension effects cannot be ignored. We improve the previous work by Chen et al. (Proc R Soc A 464:49-64, 2008, https://doi.org/10.1098/rspa.2007.0013) to the case beta < 0 and p > 7/3, and show that solitary waves of this equation are unstable by the mechanism of blow-up.