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| 关于正弦—哥登方程求解方法的研究 | |
| 引用本文： | 韩廷武. 关于正弦—哥登方程求解方法的研究[J]. 山东科技大学学报(自然科学版), 1989, 0(1) |
| 作者姓名： | 韩廷武 |
| 作者单位： | 山东矿业学院基础部 |
| 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。 |
| 关 键 词： | 非线性偏微分方程 正弦—哥登方程 标准型 公式 孤立波 贝克隆变换 辅助方程组 孤子解 |
STUDY OF METHOD FOR FINDING THE SOLUTION OF THE SINE-GORDON EQUATION |
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| Han Tingwu. STUDY OF METHOD FOR FINDING THE SOLUTION OF THE SINE-GORDON EQUATION[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 1989, 0(1) | |
| Authors: | Han Tingwu |
| Affiliation: | Dept. of Basic Courses |
| Abstract: | 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 |
| Keywords: | non-linear partial differential equation Sine-Gordon equation cannonical form formula non-linear wave.Backlund transformation auxiliary differential equations soliton solutions. |
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