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Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source
Journal article   Open access  Peer reviewed

Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source

Xuelin Yong, Wen-Xiu Ma, Yehui Huang and Yong Liu
Computers & mathematics with applications (1987), Vol.75(9), pp.3414-3419
01/05/2018
DOI: https://doi.org/10.1016/j.camwa.2018.02.007

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1016/j.camwa.2018.02.007View
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