,Trajectory equation of a lump before and after collision with line,lump, and breather waves for (2+

• 作 者: Zhao Zhang Xiangyu Yang Wentao Li Biao Li
• 机 构: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China
• 出 处: 中国物理B（英文版）
• 发表日期: 2019年11期
• 关键词: hybrid solutions trajectory equation long wave limit phase

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.