| (3+1)维Boussinesq方程的可积性及新相互作用解 |
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| 引用本文： | 李小丹,胡恒春.(3+1)维Boussinesq方程的可积性及新相互作用解[J].上海理工大学学报,2021,43(3):213-218. |
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| 作者姓名： | 李小丹 胡恒春 |
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| 作者单位： | 上海理工大学 理学院，上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目（11471215） |
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| 摘 要： | 借助符号计算软件Maple证明了新的(3+1)维Boussinesq方程具有相容正切可积性,通过选取该方程的相容性条件方程的不同形式的解,得到了新的(3+1)维Boussinesq方程的孤子与其他波的相互作用解,如简单孤子解、孤子与椭圆余弦波作用解和共振孤子解,并给出了孤子与椭圆余弦波作用解和共振孤子解所对应的图形。
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| 关 键 词： | 新的(3+1)维Boussinesq方程 相容正切展开 相互作用解 |
| 收稿时间： | 2020/11/8 0:00:00 |
Integrability and new interaction solutions of a (3+1)-dimensional Boussinesq equation |
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| LI Xiaodan,HU Hengchun.Integrability and new interaction solutions of a (3+1)-dimensional Boussinesq equation[J].Journal of University of Shanghai For Science and Technology,2021,43(3):213-218. |
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| Authors: | LI Xiaodan HU Hengchun |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | With the help of symbolic calculation software Maple, a new (3+1)-dimensional Boussinesq equation was proved to have consistent tanh integrability. Many interaction solutions among solitons and other types of nonlinear waves, such as simple soliton solution, soliton-cnoidal wave interation solution and resonant soliton solution, were given by selecting different solutions under consistent conditions equation. The corresponding graphs of soliton-cnoidal wave interation solution and resonant soliton solution were presented. |
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| Keywords: | new (3+1)-dimensional Boussinesq equation consistent tanh expansion interaction solution |
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