关于正弦—哥登方程求解方法的研究  

STUDY OF METHOD FOR FINDING THE SOLUTION OF THE SINE-GORDON EQUATION

作　　者：韩廷武[1] 

机构地区：[1]山东矿业学院基础部

出　　处：《山东矿业学院学报》1989年第1期62-67,共6页Journal of Shandong University of Science and Technology(Natural Science)

摘　　要：本文通过对正弦—哥登方程的Backlund变换性质的研究,引出了微分方程组(2)和(6),导出了正弦—哥登方程的两个求解公式,在此基础上,求得了方程的新的孤立子解。By studying the quality of Backlund transformation in the sine-Gordon equation. the auxiliary differ ential equations ( 2 ) and ( 6 ) are found. with the help of these two equations, the two solution formulas of the sine-Gordon equation are also found. so the new soliton solutions of the equation are given

关 键 词：正弦 哥登方程 非线性 偏微分方程 

分 类 号：O175.29[理学—数学]