一种演示正弦-高登方程孤立波的新方法

大学物理 ›› 2014, Vol. 33 ›› Issue (8): 38-38.

一种演示正弦-高登方程孤立波的新方法

韩猛王英策王越张宇侯春风

哈尔滨工业大学物理系,黑龙江哈尔滨150001

出版日期:2014-08-25 发布日期:2014-08-20

A new method to simulate the solitary wave solutions of sine-Gordon equation

Online:2014-08-25 Published:2014-08-20

摘要/Abstract

摘要： 正弦-高登方程对应的孤立波在非线性物理学中占有重要地位,但它不像孤立水波那样容易产生,它通常发生在微观领域.本文通过一种宏观装置近似演示正弦-高登方程孤立波,在理论上证实了该波为孤立波,研究了该孤立波的稳定发生、波速与碰撞等方面的性质.

关键词: 孤立波, 正弦-高登方程, 宏观演示装置

Abstract: The solitary wave solutions of sine-Gordon equation hold an important status in nonlinear physics. However, this solitary wave cannot be motivated easily contrasting with solitary water wave, it is usually generated in microcosmic aspect, we design a macro device to simulate the solitary wave solutions of sine-Gordon equation approximately. In the theoretical analysis we demonstrate that the wave is actually the solitary one and discuss its characteristics of the stable motivation, the speed and the collision.

Key words: solitary wave, sine-Gordon equation, macro simulator

中图分类号:

O415

韩猛王英策王越张宇侯春风. 一种演示正弦-高登方程孤立波的新方法[J]. 大学物理, 2014, 33(8): 38-38.

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