期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 75, 期 7, 页码 2414-2419出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2017.12.030
关键词
Lump solutions; Hirota bilinear form; Extended KP equation
资金
- National Natural Science Foundation of China [11371326, 51771083]
- National Science Foundation [DMS-1664561]
- 111 project of China [B16002]
- China state administration of foreign experts affairs system under the affiliation of North China Electric Power University
- 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
- Shanghai Second Polytechnic University
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1664561] Funding Source: National Science Foundation
With the aid of a computer algebra system, we present lump solutions to a (2 + 1)-dimensional extended Kadomtsev-Petviashvili equation (eKP) and give the sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions. We plot a few solutions for some specific values of the free parameters involved and finally derive one of the lump solutions of the Kadomtsev-Petviashvili (KP) equations from the lump solutions of the eKP equation. (C) 2017 Elsevier Ltd. All rights reserved.
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