扭结孤子牛顿动力学行为的奇异摄动理论  

A SINGULAR PERTURBATION THEORY FOR THE STUDY OF NEWTONIAN DYNAMICAL BEHAVIOUR OF KINK

作　　者：冯培成[1] 唐翌[1] 等 

机构地区：[1]湘潭大学物理系，湘潭411105

出　　处：《物理学报》2001年第7期1213-1216,共4页Acta Physica Sinica

基　　金：国家自然科学基金! (批准号 :10 0 0 5 0 0 7);湖南省自然科学基金! (批准号 :OOJJY2 0 0 7)&&

摘　　要：利用奇异摄动展开 ,发展了一种研究sine Gordon扭结孤子动力学行为的理论 ,得到了在恒定外力作用下sine Gordon扭结孤子类似于经典粒子 ,其运动遵守牛顿运动定律 .同时 ,还得到了它在传播过程中所辐射的色散波的一个形式简单的解析表达式 .By virtue of the singular perturbation expansion,we have developed a theory for the study of dynamical behaviours of the kink of sine-Gordon equation,and acquired that the kink of sine-Gordon equation behaves very much like a classical particle under the action of a constant external force,its motion satisfies the Newton's law. Still,we have derived a simple analytical expression for the dispersive wave radiated by the kink in the process of propagation.

关 键 词：扭结孤子 奇异摄动展开 动力学行为 SINE-GORDON方程 量子力学 色散波 

分 类 号：O302[理学—力学]