一类广义Boussinesq方程的Wronskian行列式解  

Wronskian Determinant Solutions of a Generalized Boussinesq Equation

作　　者：苏军[1] 

机构地区：[1]西安科技大学理学院,陕西西安710054

出　　处：《数学的实践与认识》2015年第21期259-266,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11402194;11426171;71271171);陕西省教育厅科研计划项目(2013JK0584);西安科技大学博士启动基金(2014QDJ045)

摘　　要：为了构造非线性孤子方程的Wronskian行列式新解,进一步研究了Wronskian技巧.本文首先给出非线性广义Boussinesq方程的双线性形式,利用Wronskian技巧构造出该非线性方程所满足的一个线性偏微分条件方程组,然后求解该微分条件方程组,得到了广义Boussinesq方程的各种Wronskian行列式解.The Wronskian technique is further studied for constructing new Wronskian determinant solutions of nonlinear soliton equations. First, the bilinear form of a gener- alized Boussinesq equation is given. The linear partial differential equations are obtained with Wronskian technique. Then the Wronskian determinant solutions of the generalized Boussinesq equation are gained by solving the linear partial differential conditions. Based on this, many exact solutions including rational solutions, postion solutions and complexiton solutions of the generalized Boussinesq equation are constructed.

关 键 词：广义BOUSSINESQ方程 WRONSKIAN技巧 Positon解 Complexiton解 

分 类 号：O175.29[理学—数学]