| 一类广义非线性sine-Gordon方程新的显式解 |
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| 引用本文： | 周建平,闫志莲.一类广义非线性sine-Gordon方程新的显式解[J].量子电子学报,2007,24(5):535-538. |
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| 作者姓名： | 周建平 闫志莲 |
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| 作者单位： | 1. 安徽工业大学计算机学院,安徽,马鞍山,243002
2. 安徽工业大学数理学院,安徽,马鞍山,243002 |
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| 摘 要： | 将行波变换推广为一般的函数变换,给出一种改进的试探方程法.应用该方法求解一类广义的非线性sine-Gordon方程,获得了多种形式的新显式解,包括三角函数型解,双曲函数型解.
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| 关 键 词： | 数学物理 试探方程法 非线性sine-Gordon方程 显式解 |
| 文章编号： | 1007-5461（2007）05-0535-04 |
| 收稿时间： | 2006/11/8 |
| 修稿时间： | 2006-11-08 |
New explicit solutions for a class of generalized nonlinear sine-Gordon equation |
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| ZHOU Jian-ping,YAN Zhi-lian.New explicit solutions for a class of generalized nonlinear sine-Gordon equation[J].Chinese Journal of Quantum Electronics,2007,24(5):535-538. |
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| Authors: | ZHOU Jian-ping YAN Zhi-lian |
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| Abstract: | The trial equation method is improved by means of the general function transfor- mation instead of the traveling wave transformation.Some new explicit solutions for a class of generalized nonlinear sine-Gordon equation are presented by this method,which include triangular function type solutions and hyperbolic function type solutions. |
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| Keywords: | mathematical physics the trial equation method nonlinear sine-Gordon equation explicit solutions |
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