| 罗琳,桂胜华.一个(3+1)维非线性方程的B(a)cklund变换和精确解[J].数学年刊A辑,2012,33(2):183~192 |
| 一个(3+1)维非线性方程的B(a)cklund变换和精确解 |
| B(a)cklund Transformations and Exact Solutions of a (3+ 1)-Dimensional Nonlinear Equation |
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| DOI： |
| 中文关键词: 双Bell多项式 B(a)cklund变换 周期波解 |
| 英文关键词:Binary Bell polynomial, B¨acklund transformation, Periodic wave
solution |
| 基金项目:国家自然科学基金，上海市教委创新基金 |
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| 中文摘要: |
| 利用双Bell多项式方法构造了一个(3+1)维非线性方程的双线性形式,得到了该方程的双线性B(a)cklund变换和相应的Lax对.同时利用Riemann theta函数,获得了该方程的周期波解. |
| 英文摘要: |
| Binary Bell polynomials are applied to construct the bilinear forms for a (3+1)-
dimensional nonlinear equation. The authors obtain its B¨acklund transformations and corresponding
Lax pair. In the meantime, the periodic wave solution to the nonlinear equation
is constructed by using the bilinear equations and a proper Riemann theta function. |
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