华侨大学学报（自然科学版）2016，Vol.37Issue(3)：380-385,6.DOI:10.11830/ISSN.1000-5013.2016.03.0380
（N＋1）维广义的Boussinesq方程的精确显式非线性波解
Exact Explicit Nonlinear Wave Solutions for the (N+1)-Dimensional Generalized Boussinesq Equation
摘要
Abstract
In this paper,we study the nonlinear wave solutions for the (N+1 )-dimensional generalized Boussinesq equa-tion.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,peri-odic blow-up solutions,and kink-shaped solutions.关键词
(N+1)维广义的Boussinesq方程/孤立波解/爆破解/周期爆破解/扭波型解Key words
(N+1 )-dimensional generalized boussinesq equation/solitary wave solutions/blow-up solutions/periodic blow-up solutions/kink-shaped solutions分类
数理科学引用本文复制引用
温振庶..（N＋1）维广义的Boussinesq方程的精确显式非线性波解[J].华侨大学学报（自然科学版）,2016,37(3):380-385,6.基金项目
国家自然科学基金资助项目（61573004，11401230）；福建省自然科学基金资助项目（2015J05008）；福建省教育厅科技项目 （）
