| Sine-Gordon方程的极限对称及应用 |
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| 引用本文： | 沈青,赵松林,张大军. Sine-Gordon方程的极限对称及应用[J]. 上海大学学报(自然科学版), 2011, 17(3): 280-285. DOI: 10.3969/j.issn.1007-2861.2011.03.013 |
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| 作者姓名： | 沈青 赵松林 张大军 |
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| 作者单位： | 上海大学理学院,上海,200444 |
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| 基金项目： | 国家自然科学基金资助项目(11071157); 上海市教委重点学科建设资助项目(J50101) |
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| 摘 要： | 研究sine-Gordon方程的极限对称及应用.由对称引出相似约化,求得sine-Gordon方程的极限解;利用对称与孤子方程的自相容源之间的联系,得到带新自相容源的sine-Gordon方程,并求出该方程的解.
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| 关 键 词： | 对称 sine-Gordon方程 相似约化 自相容源 Hirota方法 |
Limit Symmetry of Sine-Gordon Equation and Applications |
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| SHEN Qing,ZHAO Song-lin,ZHANG Da-jun. Limit Symmetry of Sine-Gordon Equation and Applications[J]. Journal of Shanghai University(Natural Science), 2011, 17(3): 280-285. DOI: 10.3969/j.issn.1007-2861.2011.03.013 |
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| Authors: | SHEN Qing ZHAO Song-lin ZHANG Da-jun |
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| Affiliation: | SHEN Qing,ZHAO Song-lin,ZHANG Da-jun(College of Sciences,Shanghai University,Shanghai 200444,China) |
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| Abstract: | Limit symmetry of the sine-Gordon equation and its applications are considered.The similarity reduction leads to limit solutions of the sine-Gordon equation.Besides,based on the relationship between symmetries and sources of soliton equations,a sine-Gordon equation with new self-consistent sources is obtained and its solutions are derived. |
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| Keywords: | symmetries sine-Gordon equation similarity reduction self-consistent sources Hirota method |
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