期刊
MODERN PHYSICS LETTERS B
卷 33, 期 36, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984919504578
关键词
Lump solution; interaction solution; symbolic computation
资金
- NSFC [11371326, 11301331, 11371086, 51771083]
- NSF [DMS-1664561]
- Natural Science Fund for Colleges and Universities of Jiangsu Province [17KJB110020]
- Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT [2017XKZD11]
- Zhejiang Normal University, China
- North-West University, South Africa
The aim of this paper is to show that there exist lump solutions and interaction solutions to linear partial differential equations in 2 +1 dimensions. Through symbolic computations with Maple, we exhibit a great variety of exact solutions to a class of (2 + 1)-dimensional linear partial differential equations, and present a specific example which possesses lump, lump-kink and lump-soliton solutions. This supplements the study on lump, rogue wave and breather solutions and their interaction solutions to nonlinear integrable equations.
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