Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 75, Issue 9, Pages 3414-3419Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.02.007
Keywords
KPI equation with a self-consistent source; Hirota bilinear method; Lump solution
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Funding
- 13th Five Year National Key Research and Development Program of China [2016YFC0401406]
- NSF of China [11301179, 11371326, 11271008]
- Fundamental Research Funds of the Central Universities [2015MS56, 2016MS63]
- State Scholarship Fund of China
- 111 Project of China [B16002]
- NSF [DMS-1664561]
- Natural Science Fund for Colleges and Universities of Jiangsu Province [17KJB110020]
- Shanghai University of Electric Power
- Shanghai Second Polytechnic University
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Based on symbolic computations, lump solutions to the Kadomtsev-Petviashvili I (KPI) equation with a self-consistent source (KPIESCS) are constructed by using the Hirota bilinear method and an ansatz technique. In contrast with lower-order lump solutions of the Kadomtsev-Petviashvili (KP) equation, the presented lump solutions to the KPIESCS exhibit more diverse nonlinear phenomena. The method used here is more natural and simpler. (C) 2018 Elsevier Ltd. All rights reserved.
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