Breather Dynamics of the Sine-Gordon Equation

被引：0
|
作者：
Stephen Johnson [1 ]
Anjan Biswas [1 ,2 ]
机构：
[1] Stephen Johnson and Anjan Biswas Department of Mathematical Sciences, Delaware State University
[2] Department of Mathematics, Faculty of Science, King Abdulaziz University
来源：
Communications in Theoretical Physics | 2013年 / 59卷 / 06期
关键词：
solitons; phonons; conservation laws; perturbations; numerics;
D O I：
暂无
中图分类号：
O175.7 [差分微分方程]; O437 [非线性光学（强光与物质的作用）];
学科分类号：
摘要：
This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation. The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governing the soliton velocity. Time-dependent functions arise and their properties are studied. These functions are found to be bounded and periodic and affect the soliton velocity. The soliton velocity is numerically plotted against time for different combinations of initial velocities and perturbation terms.
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页码：664 / 670
页数：7
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