# American Institute of Mathematical Sciences

October  2007, 17(4): 691-711. doi: 10.3934/dcds.2007.17.691

## On small amplitude solutions to the generalized Boussinesq equations

 1 Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

Received  March 2006 Revised  October 2006 Published  January 2007

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 $\mathbb{R}^n, n \ge 1$.
Citation: Yonggeun Cho, Tohru Ozawa. On small amplitude solutions to the generalized Boussinesq equations. Discrete & Continuous Dynamical Systems - A, 2007, 17 (4) : 691-711. doi: 10.3934/dcds.2007.17.691
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