通过截断不变展开求奇异扰动Boussinesq方程的近似解
PDF下载 (406)吴江龙.通过截断不变展开求奇异扰动Boussinesq方程的近似解[J].宁波大学学报(理工版),2012,25(04):127-132.DOI:
WU Jiang-long.Approximate Solutions of Singularly Perturbed Boussinesq Equation Using Truncated Invariant Expansion[J].Journal of Ningbo University(Natural Science & Engineering Edition),2012,25(04):127-132.DOI:
| Title: | Approximate Solutions of Singularly Perturbed Boussinesq Equation Using Truncated Invariant Expansion |
| 作者: | 吴江龙 |
| Author(s): | WU Jiang-long |
| 关键词: | 近似解; 截断不变展开; Boussinesq方程 |
| Keywords: | approximate solution; truncated invariant expansion; Boussinesq equation |
| 分类号: | O175.29 |
| 文献标识码: | A |
| 摘要: | 由于非线性偏微分方程的复杂性和非线性性, 很难求出它们的准确解, 因此某些合理近似以及通过截断不变展开求解实非线性系统是被考虑和建议的. 文中一个简单截断不变展开及其一个普遍的赝势被用于奇异扰动Boussinesq方程, 可以得到该方程的近似解, 在某些情况下, 这些解亦为准确解. |
| Abstract: | Due to the complexity and nonlinearity of the nonlinear PDEs, obtaining the exact solutions is difficult. To tackle this problem, approximation methods are taken into consideration. In this paper, using the truncated invariant expansion, solving for the real nonlinear systems are proposed. Using a simple truncated invariant expansion with a universal pseudopotential for the singularly perturbed Boussinesq equation, approximate solutions of the above equation can be obtained. In some special cases, the accuracy of the solutions is found to be significantly satisfying. |
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| 备注/Memo: | Received date: 2012?03?09. Foundation items: Supported by the National Natural Science Foundation of China (11175092); Student Research Innovation Program (SRIP) of Ningbo University. Author’s biography: WU Jiang-long (1987－), male, Shangrao Jiangxi, post of graduate student, research domain: nonlinear soliton integrable systems. E-mail: wjlazxm@sina.com 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
