带流体动力学阻尼的IBq方程的精确解
对带流体动力学阻尼的IBq方程进行了研究, 发现虽然对Bq方程精确解的研究很多, 但对IBq 方程解的研究结果却很少.介绍了求解非线性演化方程的Tanh法与扩展Tanh函数法, 使用符号计算软件 Maple和Tanh函数法获得带流体动力学阻尼的IBq方程的大量双曲函数精确解, 主要为扭结和反扭结孤立 子解.对精确解中未知参数进行赋值, 图解表示了部分精确解, 这对于数值解的准确性和稳定性的核对是有用 的.获得的结果证实该方法用于分析求解数学物理中各种非线性偏微分方程是有效的....
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| Published in | 东北大学学报（自然科学版） Vol. 38; no. 10; pp. 1516 - 1520 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
东北大学 理学院,辽宁 沈阳,110819%太原科技大学 应用科学学院,山西 太原,030024
2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1005-3026 |
| DOI | 10.12068/j.issn.1005-3026.2017.10.030 |
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| Summary: | 对带流体动力学阻尼的IBq方程进行了研究, 发现虽然对Bq方程精确解的研究很多, 但对IBq 方程解的研究结果却很少.介绍了求解非线性演化方程的Tanh法与扩展Tanh函数法, 使用符号计算软件 Maple和Tanh函数法获得带流体动力学阻尼的IBq方程的大量双曲函数精确解, 主要为扭结和反扭结孤立 子解.对精确解中未知参数进行赋值, 图解表示了部分精确解, 这对于数值解的准确性和稳定性的核对是有用 的.获得的结果证实该方法用于分析求解数学物理中各种非线性偏微分方程是有效的. |
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| Bibliography: | 21-1344/T SONG shu -ni1 , FAN Kai2（1. School of Sciences, Northeastern University, Shenyang 110819,China; 2. School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China. ） Tanh method; extended Tanh method; exact hyperbolic function solutions; IBq equation; fluid dynamic damping The IBq equation with fluid dynamic damping was studied. Many studies of exact solutions for Bq equation were found, but the study results of the IBq equations were very few. The standard Tanh method and the extended Tanh method were introduced to solve nonlinear evolution equation, and the standard Tanh method and symbolic computation system Maple were used to obtain a large number of exact hyperbolic function solutions of IBq equation with fluid dynamic damping,mainly for the kink and the antikink soliton solutions. Assignment of exact solutions was done for the unknown parameters, and figures showed some exact solutions, which were useful for verifying the accuracy and stability of numerical solution |
| ISSN: | 1005-3026 |
| DOI: | 10.12068/j.issn.1005-3026.2017.10.030 |