期刊
ACTA MATHEMATICA SCIENTIA
卷 39, 期 2, 页码 498-508出版社
SPRINGER
DOI: 10.1007/s10473-019-0214-6
关键词
symbolic computation; lump solution; interaction solution; 35Q51; 35Q53; 37K40
类别
资金
- NSFC [11301331, 11371086, 11571079, 51771083]
- NSF [DMS-1664561]
- Shanghai Pujiang Program [14PJD007]
- Natural Science Foundation of Shanghai [14ZR1403500]
- Natural Science Fund for Colleges and Universities of Jiangsu Province [17KJB110020]
- Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT [2017XKZD11]
- Shanghai University of Electric Power, China
- North-West University, South Africa
Taking a class of linear (4+1)-dimensional partial differential equations as examples, we would like to show that there exist lump solutions and interaction solutions in (4+1)-dimensions. We will compute abundant lump solutions and interaction solutions to the considered linear (4+1)-dimensional partial differential equations via symbolic computations, and plot three specific solutions with Maple plot tools, which supplements the existing literature on lump, rogue wave and breather solutions and their interaction solutions in soliton theory.
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