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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
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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.
作者 孙福伟 郝珊珊
机构地区 北方工业大学理学院
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
关键词 Bell多项式方法 HIROTA方法 浅水波方程 变系数 Bell polynomial Hirota method the shallow water wave equation variable-coefficients
分类号 O175.29 [理学—基础数学]
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参考文献12

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二级参考文献56

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北方工业大学学报
2015年 第1期

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