Bell多项式在变系数广义浅水波方程中的应用  

The Application of Bell Polynomial to the Variable-coefficients Generalized Shallow Water Wave Equation

作　　者：孙福伟[1] 郝珊珊[1] 

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《北方工业大学学报》2015年第1期61-65,共5页Journal of North China University of Technology

摘　　要：本文利用Bell多项式方法将变系数广义浅水波方程转化成双线性形式,利用Bell多项式结合Hirota方法得出了变系数广义浅水波方程的单孤子解、双孤子解的精确表达形式,并借助计算机绘出其图形,展示了多孤子之间的相互作用.By means of Bell polynomials,the variable-coefficients generalized Shallow water wave equation is bilinearized.And by combining Bell polynomial method with Hirota method,both the single soliton solutions of the variable-coefficients generalized Shallow water wave equation and the double soliton solutions are obtained.The diagram drawn with the help of computer showed the interaction between solitons.

关 键 词：Bell多项式方法 HIROTA方法 浅水波方程 变系数 

分 类 号：O175.29[理学—数学]