| 数学物理中一类波动方程新的显示精确行波解 |
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| 引用本文： | 夏铁成,张鸿庆. 数学物理中一类波动方程新的显示精确行波解[J]. 渤海大学学报(自然科学版), 2001, 22(3): 8-10 |
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| 作者姓名： | 夏铁成 张鸿庆 |
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| 作者单位： | 锦州师范学院数学系;大连理工大学应用数学系 |
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| 基金项目： | Project supported by the national Key Basic Research Development of China( G19980 30 6 0 ),the National Natural Science Foundation ofChina( G10 0 72 0 13) and the Doctoral Program Foundation of institution of Higher Education of China( 980 14 199) |
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| 摘 要： | 借助于Mathematica,利用改进的Sin-coaine方法和吴方法,获得了一类波动方程许多新的显示行波解,其中包括新的孤波解.做为方程的特例应用此方法也得到了对应的解,此方法可部分由计算机完成.
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| 关 键 词： | 波动方程 Sin-coaine方程 吴消元法 孤波解 |
| 文章编号： | 1007-533(2001)03-0008-03 |
| 修稿时间： | 2001-09-14 |
New explicit and exact travelling wave solution for class of nonlinear wave equation in mathematical physics |
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| XIA Tie cheng ,ZHANG Hong qing. New explicit and exact travelling wave solution for class of nonlinear wave equation in mathematical physics[J]. Journal of Bohai University:Natural Science Editio, 2001, 22(3): 8-10 |
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| Authors: | XIA Tie cheng ZHANG Hong qing |
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| Affiliation: | XIA Tie cheng 1,ZHANG Hong qing 2 |
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| Abstract: | With the aid of mathematica,many new explicit and exact travelling wave solution for a class of nonlinear wave equation are abtained by using an impreved sine cosine method and the Wu elimination method,which include new solitary solutions.Particular important case of the equation can also be solved by this method.The method can carry out in part by computer. |
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| Keywords: | wave equation sine cosine mehtod w elimination method solitary wave solution |
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