| U(1)场中CP~1模型任意涡旋状孤立子解的存在性及渐近估计 |
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| 引用本文： | 严正香,陈守信. U(1)场中CP~1模型任意涡旋状孤立子解的存在性及渐近估计[J]. 数学的实践与认识, 2012, 42(12): 215-221 |
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| 作者姓名： | 严正香 陈守信 |
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| 作者单位： | 1. 信阳职业技术学院数学与计算机科学院,河南信阳,464000
2. 河南大学数学与信息科学学院,河南 开封,475004 |
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| 摘 要： | 对U(1)场中含有Chern-Simons项的CP~1模型用变分法证明了其拓扑孤立子解的存在性.进而,又用分析的方法讨论了该解的单调性和渐近性.
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| 关 键 词： | 传染病模型 CP~1模型 孤立子 变分法 存在性 渐近性 |
Existence and Asymptotic Behavior of Solitons of Arbitrary Vorticity of CP1 Model in U(1) Field |
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| YAN Zheng-xiang , CHEN Shou-xin. Existence and Asymptotic Behavior of Solitons of Arbitrary Vorticity of CP1 Model in U(1) Field[J]. Mathematics in Practice and Theory, 2012, 42(12): 215-221 |
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| Authors: | YAN Zheng-xiang CHEN Shou-xin |
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| Affiliation: | 1.College of Mathematics and Computer Science,Xinyang Vocational and Technical College,Xinyang 464000, China) (2.School of Mathematics and Information Sciences,Henan University,Kaifeng 475004,China) |
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| Abstract: | In this paper,applying the variational method,we proved the existence of topological solitons for the CP~1 model with Chern-Simons term in U(1)field.Furthermore,we established the monotonicity and asymptotic behavior for the solutions by analytical skills. |
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| Keywords: | CP~1 model solitions existence asymptotic estimate |
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