中文摘要：

研究（N＋1）维广义的Boussinesq方程的非线性波解.利用动力系统定性理论和分支方法,获得它的多种非线性波解的精确显式表达式,这些解包括孤立波解,爆破解,周期爆破解和扭波型解.

英文摘要：

In this paper,we study the nonlinear wave solutions for the（N＋1）-dimensional generalized Boussinesq equation.Using the bifurcation method and qualitative theory of dynamical systems,we obtain many exact explicit expressions of the nonlinear wave solutions for the equation.These solutions contain solitary wave solutions,blow-up solutions,periodic blow-up solutions,and kink-shaped solutions.