| 非等谱变系数sine—Gordon方程的可积性质 |
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| 引用本文： | 孟祥花,许晓革,许瑞麟.非等谱变系数sine—Gordon方程的可积性质[J].北京机械工业学院学报,2010(4):9-12. |
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| 作者姓名： | 孟祥花 许晓革 许瑞麟 |
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| 作者单位： | 北京信息科技大学理学院,北京100192 |
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| 基金项目： | 北京市自然科学基金项目（1102018）;国家自然科学基金项目（61072145）;北京信息科技大学校基金项目（1025020 |
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| 摘 要： | 借助孤子理论中WTC方法,研究了非等谱变系数sine-Gordon方程的Painlev啨性质。利用该方程的AKNS系统,构造得到了2个重要的可积性质,即Γ函数形式的Backlund变换和无穷多守恒律,并由Backlund变换和种子解求得非等谱变系数sine-Gordon方程的新解析解。
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| 关 键 词： | Painleve性质 Backlund变换 守恒律 |
Integrable properties for a nonisospectral variable-coeffcient sine-Gordon equation |
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| MENG Xiang-hua,XU Xiao-ge,XU Rui-lin.Integrable properties for a nonisospectral variable-coeffcient sine-Gordon equation[J].Journal of Beijing Institute of Machinery,2010(4):9-12. |
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| Authors: | MENG Xiang-hua XU Xiao-ge XU Rui-lin |
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| Affiliation: | (School of Applied Sciences, Beijing Information Science and Technology University ,Beijing 100192, China) |
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| Abstract: | Using the WTC method in soliton theory,the integrable properties of a nonisospectral variable-coefficient sine-Gordon equation is investigated in this paper.As two important properties of the integrable nonlinear evolution equations,with the help of the AKNS system,the Backlund transformation in Γ function form and an infinite number of conservation laws are constructed.A new analytic solution for the nonisospectral variable-coefficient sine-Gordon equation is derived by using the Backlund transformation and a seed solution. |
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| Keywords: | Painlevé property Backlund transformation conservation laws |
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