中国物理B ›› 2019, Vol. 28 ›› Issue (11): 110201-110201.doi: 10.1088/1674-1056/ab44a3
• GENERAL • 下一篇
Zhao Zhang(张钊), Xiangyu Yang(杨翔宇), Wentao Li(李文涛), Biao Li(李彪)
Zhao Zhang(张钊), Xiangyu Yang(杨翔宇), Wentao Li(李文涛), Biao Li(李彪)
摘要: 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.
中图分类号: (Partial differential equations)