Journal
WAVE MOTION
Volume 77, Issue -, Pages 243-256Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.wavemoti.2017.12.004
Keywords
Kadomtsev-Petviashvili equation; Hirota transformation; Lump solution; Soliton interaction
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Funding
- National Natural Science Foundation of China [11272120, 11272196]
- State task programme in the sphere of scientific activity of the Ministry of Education and Science of the Russian Federation [5.1246.2017/4.6]
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The interactions of multi-lumps within the Kadomtsev-Petviashvili-1 (KP1) equation are studied analytically and numerically. The dependence of stationary multi-lump structures on free parameters is discussed. The interactions of single lumps with each other and with a more complex objects such as bi-lumps, as well as the interactions of bi-lumps with each other are studied numerically. The results obtained are described and illustrated graphically (the videos are also available). (C) 2017 Elsevier B.V. All rights reserved.
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