期刊
MODERN PHYSICS LETTERS B
卷 35, 期 19, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984921503152
关键词
Fluid mechanics; (2+1)-dimensional extended Kadomtsev-Petviashvili II equation; bilinear Backlund transformation; breather waves; travelling waves
资金
- National Natural Science Foundation of China [11772017, 11272023, 11471050]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China [IPOC: 2017ZZ05]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
- Fundamental Research Funds for the Central Universities in UIBE [CXTD12-04]
This paper investigates a (2+1)-dimensional extended Kadomtsev-Petviashvili II equation in fluid mechanics, deriving breather-wave and lump solutions using various methods, and analyzing the effects of coefficients on them.
Fluid-mechanics studies are applied in mechanical engineering, biomedical engineering, oceanography, meteorology and astrophysics. In this paper, we investigate a (2+1)-dimensional extended Kadomtsev-Petviashvili II equation in fluid mechanics. Based on the Hirota bilinear method, we give a bilinear Backlund transformation. Via the extended homoclinic test technique, we construct the breather-wave solutions under certain constraints. We obtain the velocities of the breather waves, which depend on the coefficients in that equation. Besides, we derive the lump solutions with the periods of the breather-wave solutions tending to the infinity. Based on the polynomial-expansion method, travelling-wave solutions are constructed. We observe that the shapes of a breather wave and a lump remain unchanged during the propagation. We graphically discuss the effects of those coefficients on the breather wave and lump.
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