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On small amplitude solutions to the generalized Boussinesq equations
We study the existence and scattering of global small amplitude
solutions to generalized Boussinesq (Bq) and improved modified
Boussinesq (imBq) equations with nonlinear term $f(u)$ behaving as a
power $u^p$ as $u \to 0$ in $\mathbb{R}^n, n \ge 1$.