| 经典铁磁链方程的一些解及其与非线性Klein-Gordon方程解的联系 |
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| 引用本文： | 楼森岳,倪光炯. 经典铁磁链方程的一些解及其与非线性Klein-Gordon方程解的联系[J]. 复旦学报(自然科学版), 1988, 0(3) |
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| 作者姓名： | 楼森岳 倪光炯 |
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| 作者单位： | 复旦大学物理学系，复旦大学物理学系 1987级博士研究生 |
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| 摘 要： | 通过建立经典铁磁链方程的行波解与立方非线性Klein-Gordon方程的行波解之间的映射关系,找到了前者的一般孤子解以及若干用Jacobi椭圆函数表达的周期解。
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| 关 键 词： | 铁磁链 非线性方程 行波 椭圆函数。 |
SOME SOLUTIONS OF CLASSICAL FERROMAGNETIC CHAIN EQUATION AND THEIR RELATIONS WITH THAT OF NONLINEAR KLEIN-GORDON EQUATION |
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| Lou Senyue,Ni Guangjiong,. SOME SOLUTIONS OF CLASSICAL FERROMAGNETIC CHAIN EQUATION AND THEIR RELATIONS WITH THAT OF NONLINEAR KLEIN-GORDON EQUATION[J]. Journal of Fudan University(Natural Science), 1988, 0(3) |
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| Authors: | Lou Senyue Ni Guangjiong |
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| Affiliation: | Department of Physics |
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| Abstract: | By establishing the mapping relation between the travelling wave solutions ofclassical ferromagnetic chain equation and that of cubic nonlinear Klein-Gordon equa-tion, the general soliton solution of the former equation is found. Some periodic solu-tions expressed by Jacobi elliptic functions are also discussed. |
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| Keywords: | ferromagnetic chain nonlinear equation travelling wave elliptic function. |
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