| (3+1)维Korteweg-de Vries (KdV)方程的高阶怪波解和多波浪解 |
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| 引用本文： | 田宏菲,孙艳芳,张辉群.(3+1)维Korteweg-de Vries (KdV)方程的高阶怪波解和多波浪解[J].上海师范大学学报(自然科学版),2021,50(3):269-279. |
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| 作者姓名： | 田宏菲 孙艳芳 张辉群 |
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| 作者单位： | 青岛大学 数学与统计学院, 山东 青岛 266071 |
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| 摘 要： | 基于Hirota双线性形式，一个新的（3+1）维Korteweg-de Vries（KdV）方程的高阶怪波解和多波浪解被得到.通过作图，更直观地展示和讨论了高阶怪波解和多波浪解的动力学性质.
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| 关 键 词： | (3+1)维Korteweg-de Vries (KdV)方程 Hirota双线性型 高阶怪波解 多波浪解 |
| 收稿时间： | 2021/2/20 0:00:00 |
Multiple rogue wave and multiple lump solutions of a (3+1)-dimensional Korteweg-de Vries equation |
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| TIAN Hongfei,SUN Yanfang,ZHANG Huiqun.Multiple rogue wave and multiple lump solutions of a (3+1)-dimensional Korteweg-de Vries equation[J].Journal of Shanghai Normal University(Natural Sciences),2021,50(3):269-279. |
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| Authors: | TIAN Hongfei SUN Yanfang ZHANG Huiqun |
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| Institution: | Department of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China |
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| Abstract: | Based on the Hirota bilinear form, we obtained the multiple rogue wave and multiple lump solutions of a new (3+1)-dimensional Korteweg-de Vries (KdV) equation. The dynamic properities of the multiple rogue wave and multiple lump solutions were discussed and illustrated vividly through graphics. |
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| Keywords: | (3+1)-dimensional Korteweg-de Vries (KdV) equation Hirota bilinear form multiple rogue wave multiple lump solutions |
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