| 杨云青,陈勇.基于Bell多项式求解非线性发展方程Hirota双线性形式的新算法[J].数学年刊A辑,2014,35(2):247~256 |
| 基于Bell多项式求解非线性发展方程Hirota双线性形式的新算法 |
| A New Algorithm Based on Bell Polynomials to Construct Hirota Bilinear Forms ofNonlinear Evolution Equations |
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| DOI： |
| 中文关键词: Bell多项式, Hirota双线性形式, 符号计算 |
| 英文关键词:Bell polynomial, Hirota bilinear form, Symbolic computation |
| 基金项目:国家自然科学基金 (No.11075055, No.11275072), 浙江省自然科学基金 (No.LQ12A01008),
高校博士点专项科研基金(No.20120076110024)和浙江海洋学院科研启动基金 |
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| 中文摘要: |
| 基于Bell多项式, 构造了获得非线性发展方程双线性形式的一个新算法, 并且开发了相应的程序包.
非线性发展方程与其双线性形式之间的变换可由该程序包自动推导, 同时给出了一些具有代表性的实例验证了
该程序包的有效性与可靠性. |
| 英文摘要: |
| Based on Bell polynomials, a new algorithm is developed to derive the
Hirota bilinear forms of nonlinear evolution equations, and the corresponding
Maple package is constructed. The transformation from a equation to its
bilinear form can be deducted automatically by the Maple package.
Some examples are given to verify the validity of the algorithm. |
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