| Landau-Ginzburg-Higgs方程的渐进高阶周期解(英文) |
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| 引用本文： | 郑文晶. Landau-Ginzburg-Higgs方程的渐进高阶周期解(英文)[J]. 内蒙古大学学报(自然科学版), 2009, 40(1) |
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| 作者姓名： | 郑文晶 |
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| 作者单位： | 呼伦贝尔学院数学系,内蒙古,呼伦贝尔市,021008 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 基于一个辅助的Lame方程和摄动法,研究了Landan-Ginzburg-Higgs方程,得到了该方程的新的Jacobi椭圆函数形式的高阶渐进周期解.在极限情形下,可还原为经典的孤立波解.
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| 关 键 词： | Landau-Ginzburg-Higgs方程 渐进高阶周期解 摄动法 |
Asymptotic Higher-order Periodic Solutions to Landau-Ginzburg-Higgs Equation |
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| ZHENG Wen-jing. Asymptotic Higher-order Periodic Solutions to Landau-Ginzburg-Higgs Equation[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2009, 40(1) |
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| Authors: | ZHENG Wen-jing |
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| Affiliation: | Department of Mathematics;College of Hulunbeier;Inner Mongolia Hulunbeier;021008;China |
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| Abstract: | Based on an auxiliary Lame equation and a perturbation method,the Landau-Ginzburg-Higgs equation is investigated.The asymptotic higher-order periodic solutions in terms of Jacobi elliptic functions to this equation are explicitly obtained with the aid of symbolic computation.Some of them are novel.At the case of limitation,the periodic solutions give corresponding solitary wave solutions. |
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| Keywords: | Landau-Ginzburg-Higgs equation asymptotic higher-order periodic solution perturbation method |
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