摘要
大批有孤子解的非线性波动方程在物理的各领域不断被揭示,其中包括等离子体中非线性的Schr dinger方程、浅水波的KDV方程、振子运动的TODA链与二维流体流动的KP方程等。但对孤子解的物理学行为,却很少有文章讨论。文章从孤子的波动解出发,研究了两孤子相互作用的弹性散射,进而进一步将其推广到N孤子的弹性散射,得出了孤子散射的一般理论及其孤子行进的力学行为,对研究孤子的物理性质具有一定的指导意义。
It has been revealed that the nonlinear wave equtions have a large quantities of the solitary particle solution in all kinds of physics fields,as the nonlinear Schroedinger eqution in plasma physics, KDV eqution, TODA chain and KP eqution etc. But a less article discuss the physics action about the solitary particle solution. This article reaches the flexibility scattering of the two solitary particle, and then, it enlarge into the flexibility scattering of the N solitary particle, and come to ordinary theory of the solitary particle scattering and mechanics behaviour about the solitary particle moving. The article has significance for reaching the physics nature of the solitary particle.
出处
《廊坊师范学院学报（自然科学版）》
2009年第1期52-54,共3页
Journal of Langfang Normal University(Natural Science Edition)
关键词
孤子
N孤子
孤波解
KDV方程
solitary particle
n solitary particle
solitary wave solution
KDV eqution
