(2+1)-维5阶KdV方程的相互作用解  

INTERACTION SOLUTIONS FOR THE (2+1)-DIMESIONAL FIFTH-ORDER KDV EQUATION

作　　者：孟勇 MENG Yong(Ningbo University,Ningbo Zhejiang 315211)

机构地区：[1]宁波大学,浙江宁波315211

出　　处：《巢湖学院学报》2018年第6期30-41,共12页Journal of Chaohu University

摘　　要：使用Hirota双线性方法求出(2+1)-维5阶Kd V方程的单孤子解、呼吸子解、Lump孤子解,并且通过理论计算的方法得到Lump型孤子的运动轨迹、有效体积、有效动能等动力学特征量,然后通过单孤子解与呼吸子解的叠加方式发现呼吸子被单孤子吞噬的现象,以及探究Lump型孤子与单孤子的相互作用过程中所表现出来的碰撞、反弹、吸收、分裂等粒子性特征,从而揭示现象背后所反映出来的物理学规律。The Hirota bilinear method is used to obtain the single soliton solution,the breather solution and the Lump soliton solution of the(2+1)-dimensional KdV equation.The motion trajectory,effective volume and effective kinetic energy of the Lump-type soliton are obtained by theoretical calculation.The kinetic feature quantity is then found by the superposition of the single soliton solution and the breather solution to find out the phenomenon that the breather is swallowed by a single soliton,and explore the particle characteristics such as collision,rebound,absorption and splitting in the interaction process of Lump soliton and single soliton.Thus the phenomenon behind the reflected laws of physics is revealed.

关 键 词：单孤子解 呼吸子解 Lump孤子 粒子性 动力学特征量 

分 类 号：O175.29[理学—数学]