| Lump,lumpoff and predictable rogue wave solutions to a dimensionally reduced Hirota bilinear equation |
| |
| 作者姓名： | 王海峰 张玉峰 |
| |
| 作者单位： | School of Mathematics |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11971475)。 |
| |
| 摘 要： | We study a simplified(3+1)-dimensional model equation and construct a lump solution for the special case of z=y using the Hirota bilinear method.Then,a more general form of lump solution is constructed,which contains more arbitrary autocephalous parameters.In addition,a lumpoff solution is also derived based on the general lump solutions and a stripe soliton.Furthermore,we figure out instanton/rogue wave solutions via introducing two stripe solitons.Finally,one can better illustrate these propagation phenomena of these solutions by analyzing images.
|
| 关 键 词： | dimensionally REDUCED HIROTA BILINEAR equation MORE general FORM of lump SOLUTION lumpoff SOLUTION rogue wave SOLUTION |
Lump,lumpoff and predictable rogue wave solutions to a dimensionally reduced Hirota bilinear equation |
| |
| Haifeng Wang,Yufeng Zhang.Lump,lumpoff and predictable rogue wave solutions to a dimensionally reduced Hirota bilinear equation[J].Chinese Physics B,2020(4):172-178. |
| |
| Authors: | Haifeng Wang Yufeng Zhang |
| |
| Affiliation: | (School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China) |
| |
| Abstract: | We study a simplified (3+1)-dimensional model equation and construct a lump solution for the special case of z=y using the Hirota bilinear method. Then, a more general form of lump solution is constructed, which contains more arbitrary autocephalous parameters. In addition, a lumpoff solution is also derived based on the general lump solutions and a stripe soliton. Furthermore, we figure out instanton/rogue wave solutions via introducing two stripe solitons. Finally, one can better illustrate these propagation phenomena of these solutions by analyzing images. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 等数据库收录！ |
