| (2+1)维bidirectional Sawada-Kotera方程的共振多波解和complexiton解 |
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| 引用本文： | 张永丽,哈金婷,张辉群. (2+1)维bidirectional Sawada-Kotera方程的共振多波解和complexiton解[J]. 上海师范大学学报(自然科学版), 2020, 49(3): 280-288 |
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| 作者姓名： | 张永丽 哈金婷 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;青岛大学数学与统计学院,山东青岛266071;青岛大学数学与统计学院,山东青岛266071 |
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| 摘 要： | 利用线性叠加原则研究了（2+1）维bidirectional Sawada-Kotera （bSK）方程的双线性形式,分别构造了（2+1）维bidirectional Sawada-Kotera方程的共振多波解和complexiton解.特别地,得到了方程的正complexiton解.此外,利用图像展示了解的一些动力学特征.
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| 关 键 词： | (2+1)维bidirectional Sawada-Kotera (bSK)方程 线性叠加原则 共振多波解 complexiton解 |
| 收稿时间： | 2019-09-15 |
Resonant multiple wave solutions and complexiton solutions to the (2+1)-dimensional bidirectional Sawada-Kotera equation |
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| ZHANG Yongli,HA Jinting and ZHANG Huiqun. Resonant multiple wave solutions and complexiton solutions to the (2+1)-dimensional bidirectional Sawada-Kotera equation[J]. Journal of Shanghai Normal University(Natural Sciences), 2020, 49(3): 280-288 |
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| Authors: | ZHANG Yongli HA Jinting ZHANG Huiqun |
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| Affiliation: | Department of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China,Department of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China and Department of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China |
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| Abstract: | In this paper, the linear superposition principle is used to investigate the bilinear form of the (2+1)-dimensional bidirectional Sawada-Kotera (bSK) equation. The resonant multiple wave solutions and complexiton solutions to the (2+1)-dimensional bidirectional Sawada-Kotera equation are constructed respectively. Especially, the positive complexiton solutions are derived. In addition, a few of analyses and three dimensional plots of complexiton solutions are made to show the dynamical features in detail. |
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| Keywords: | (2+1)-dimensional bidirectional Sawada-Kotera (bSK) equation linear superposition principle resonant multiple wave solutions complexiton solutions |
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