Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 107, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2021.106131
Keywords
B-Kadomtsev-Petviashvili equation; M-lump solutions; Higher-order breathers; Hybrid solutions
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Funding
- National Natural Science Foundation of China [11971067, 11101029, 12001556]
- National Science Foundation, United States [DMS-1664561]
- Beijing Nova program, China [Z1311090 00413029]
- Beijing Social Science Fund Project [15JGC184]
- Program for Innovation Research in Central University of Finance and Economics(CUFE), China
- CUFE
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In this paper, the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili (BKP) equation are further studied using the theory of Hirota bilinear operator, which include N-soliton solutions, M-lump solutions, higher-order breathers and hybrid solutions. The dynamic behaviors of these solutions are analyzed and shown graphically through numerical simulations with specific parameters.
In this paper, the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili (BKP) equation, which is a useful physical model, are further studied. Firstly, by using the theory of Hirota bilinear operator, the corresponding N-soliton solutions are obtained. Then the localized solutions, which are the M-lump solutions, higher-order breathers and hybrid solutions, are also constructed by taking a long-wave limit and introducing some conjugation conditions. In the meanwhile, the dynamic behaviors of these obtained solutions are analyzed and shown graphically by the corresponding numerical simulations with specific parameters, which can greatly affect the solutions, such as the propagation properties. (C) 2021 Elsevier B.V. All rights reserved.
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