| 有理函数变换法求扩展(3+1)维Jimbo-Miwa方程丰富的精确解 |
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| 引用本文： | 哈金婷,李欣越,张辉群.有理函数变换法求扩展(3+1)维Jimbo-Miwa方程丰富的精确解[J].上海师范大学学报(自然科学版),2019,48(3):261-271. |
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| 作者姓名： | 哈金婷 李欣越 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,山东科技大学 数学与系统科学学院, 山东 青岛 266590,青岛大学 数学与统计学院, 山东 青岛 266071 |
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| 摘 要： | 利用扩展的有理函数变换法对两个扩展的（3+1）维Jimbo-Miwa方程进行了研究，得到了丰富的精确解，特别是共振孤波解，复合解及三角函数、双曲函数和指数函数结合形式的解.除此之外，对所得解的结构作了详细的图像展示和性质分析.
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| 关 键 词： | (3+1)维Jimbo-Miwa方程 有理函数变换法 复合解 |
| 收稿时间： | 2019/1/2 0:00:00 |
Extended transformed rational function method for abundant solutions of extended (3+1)-dimensional Jimbo-Miwa equations |
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| HA Jinting,LI Xinyue and ZHANG Huiqun.Extended transformed rational function method for abundant solutions of extended (3+1)-dimensional Jimbo-Miwa equations[J].Journal of Shanghai Normal University(Natural Sciences),2019,48(3):261-271. |
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| Authors: | HA Jinting LI Xinyue and ZHANG Huiqun |
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| Institution: | Department of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China,College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China and Department of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China |
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| Abstract: | In this paper, we study two extended (3+1)-dimensional Jimbo-Miwa equations by using the extended transformed rational function method. Consequently, we generate abundant exact solutions, especially the resonant multiple wave solutions, complexiton solutions and combining trigonometric, hyperbolic and exponential function solutions. Moreover, the detailed structures of generated solutions are presented analytically and graphically. |
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| Keywords: | (3+1)-dimensional Jimbo-Miwa equation extended transformed rational function method complexiton solutions |
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