| 一个(3+1)维非线性方程的B(a)cklund变换和精确解 |
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| 引用本文： | 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(中文版),2012,33(2):183-192. |
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| 作者姓名： | 罗琳 桂胜华 |
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| 作者单位： | 上海第二工业大学理学院 |
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| 基金项目： | 国家自然科学基金(No.11071092);上海市教委创新基金(No.10ZZ131)资助的项目 |
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| 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Bcklund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.
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| 关 键 词： | 双Bell多项式 Bcklund变换 周期波解 |
B(a)cklund Transformations and Exact Solutions of a (3+ 1)-Dimensional Nonlinear Equation |
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| LUO Lin and GUI Shenghua.B(a)cklund Transformations and Exact Solutions of a (3+ 1)-Dimensional Nonlinear Equation[J].Chinese Annals of Mathematics,2012,33(2):183-192. |
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| Authors: | LUO Lin and GUI Shenghua |
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| Institution: | 1 School of Science,Shanghai Second Polytechnic University,Shanghai 201209, China. |
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| Abstract: | Binary Bell polynomials are applied to construct the bilinear forms for a(3+1)- dimensional nonlinear equation.The authors obtain its Backlund 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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| Keywords: | Binary Bell polynomial Backlund transformation Periodic wave solution |
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