Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 68, Issue -, Pages 56-62Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2018.07.038
Keywords
Lump solutions; Lump-soliton solutions; The Hirota method; The HSI equation
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Funding
- National Natural Science Foundation of China [11371326, 11301331, 11371086]
- NSF [DMS-1664561]
- 111 project of China [B16002]
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We apply the Hirota direct method to construct lump and interaction solutions to the Hirota-Satsuma-Ito (HSI) equation. We establish a general theory for finding the lump-soliton to (2+1)-dimensional nonlinear PDEs. We generate the corresponding lump and lump-soliton solutions to the HSI equation by the logarithm transformation of the dependent variables. (C) 2018 Elsevier B.V. All rights reserved.
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