| 非线性耦合标量场方程的精确解析解 |
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| 引用本文： | 尚亚东,高帆. 非线性耦合标量场方程的精确解析解[J]. 西安石油大学学报(自然科学版), 2002, 17(4): 85-88 |
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| 作者姓名： | 尚亚东 高帆 |
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| 作者单位： | 西安石油学院,信息科学系,陕西,西安,710065 |
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| 基金项目： | 国家自然科学基金项目 (内部 ) (199710 6 8) |
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| 摘 要： | 用直接方法和假设方法的结合得到了非线性耦合标量场方程的几种新的显式精确解析解 ,对该方程已有的一些孤子解 ,给出了更一般的形式 ,扩大了参数的取值范围 ,推广改进了已有文献的结果
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| 关 键 词： | 非线性偏微分方程 孤立子解 耦合标量场 精确解 |
| 文章编号： | 1001-5361(2002)04-0085-04 |
| 修稿时间： | 2001-09-05 |
Exact Analytical Solutions of Nonlinear Coupled Scalar Field Equations |
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| SHANG Ya-dong,GAO Fan. Exact Analytical Solutions of Nonlinear Coupled Scalar Field Equations[J]. Journal of Xian Shiyou University, 2002, 17(4): 85-88 |
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| Authors: | SHANG Ya-dong GAO Fan |
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| Abstract: | Some explicit analytical solutions of nonlinear coupled scalar field equations are presented by means of direct method and hypothesis method. To the soliton solutions of the equations in some literatures, a more general form is given and the span of their parameters is extended. The results in this paper are the extension and improvement of the known results. |
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| Keywords: | nonlinear partial differential equation soliton solution coupled scalar field exact solution |
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