一阶非线性项、四阶色散项Boussinesq类方程的孤立波解

Solitary wave solution for Boussinesq type equations with the first order nonlinear terms and the fourth order dispersive terms

对作者得到的保留了一阶非线性项Ｏ（α）及四阶色散项Ｏ（β８）（其中：α＝Ａ／ｈ０，β＝ｈ０／Ｌ；Ａ特征波高，Ｌ特征波长，ｈ０特征水深）的Ｂｏｕｓｓｉ－ｎｅｓｑ类方程求解其孤立波解，与传统Ｂｏｕｓｓｉｎｅｓｑ方程的孤立波解进行了比较，为数值求解一阶非线性、四阶色散性方程提供了精确的初始条件．

The authors obtain the solution of a solitary wave for the Boussinesq type equations, which retain the first order nonlinear terms and the fourth order dispersive terms. Comparing it with the solitary wave solution for the traditional Boussinesq equations show that its nonlinearity is the stronger. The results provide the exact initial condition for solving the Boussinesq type equations with high order terms.