| 带非均匀项sine-Gordon方程的Bcklund变换及对易定理 |
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| 引用本文： | 谢汉光,徐宝智. 带非均匀项sine-Gordon方程的Bcklund变换及对易定理[J]. 应用数学, 1991, 0(3) |
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| 作者姓名： | 谢汉光 徐宝智 |
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| 作者单位： | 浙江教育学院数理系，浙江大学数学系 杭州 310012，杭州 310012 |
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| 摘 要： | Bcklund变换(BT)的对易定理是一个很重要的性质,但其数学证明在文献中讨论得较少。文[1]给出了一类保谱的MKdv-SG方程的BT及对易定理的证明.本文研究非保谱的带非均匀项的sine-Gordon方程u_(xt)=sinu (axu_x)_x,(a为参数),(1)它的特征值满足关系λ_1=αλ。我们给出了方程(1)的BT,并证明了对易定理.
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| 关 键 词： | 带非均匀项S-G方程 非保谱 Bcklund变换 对易定理 |
On the Backlund Transformations and Theorem of Permutability for the Sine-Gordon Equation with Nonuniformity Terms |
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| Xie Hanguang. On the Backlund Transformations and Theorem of Permutability for the Sine-Gordon Equation with Nonuniformity Terms[J]. Mathematica Applicata, 1991, 0(3) |
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| Authors: | Xie Hanguang |
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| Affiliation: | Xie Hanguang (Zhejiang Educational College) Xu Baozhi (Zhejiang University) |
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| Abstract: | In the paper the authors obtaine Backlund Transformations for the SineGordon equation with nonuniformity terms and provc the theorem of permutability. |
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| Keywords: | Sine-Gordon equation with nonuniformity terms Non-isospectrat Backlund transformations Permutability theorem |
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