# On small amplitude solutions to the generalized Boussinesq equations

Preprint Series # 764
Cho, Yonggeun and Ozawa, Tohru On small amplitude solutions to the generalized Boussinesq equations. (2006);

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## Abstract

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 $\mathbb{R}^n, n \ge 1$.

Item Type: Preprint 20 generalized Bq and imBq equations, small amplitude solution, global existence, scattering 35-xx PARTIAL DIFFERENTIAL EQUATIONS 1257