Breather Dynamics of the Sine-Gordon Equation  

作　　者：Stephen Johnson Anjan Biswas 

机构地区：[1]Stephen Johnson and Anjan Biswas Department of Mathematical Sciences, Delaware State University [2]Department of Mathematics, Faculty of Science, King Abdulaziz University

出　　处：《Communications in Theoretical Physics》2013年第6期664-670,共7页理论物理通讯（英文版）

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.

关 键 词：SOLITONS PHONONS conservation laws PERTURBATIONS NUMERICS 

分 类 号：O175.7[理学—数学] O437[理学—基础数学]