Journal
CHINESE PHYSICS B
Volume 28, Issue 11, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/ab44a3
Keywords
hybrid solutions; trajectory equation; long wave limit; phase
Categories
Funding
- National Natural Science Foundation of China [11775121, 11805106, 11435005]
- K C Wong Magna Fund in Ningbo University, China
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Based on the hybrid solutions to (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation, the motion trajectory of the solutions to KP equation is further studied. We obtain trajectory equation of a single lump before and after collision with line, lump, and breather waves by approximating solutions of KP equation along some parallel orbits at infinity. We derive the mathematical expression of the phase change before and after the collision of a lump wave. At the same time, we give some collision plots to reveal the obvious phase change. Our method proposed to find the trajectory equation of a lump wave can be applied to other (2+1)-dimensional integrable equations. The results expand the understanding of lump, breather, and hybrid solutions in soliton theory.
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