| 一类三阶色散方程的非解析波解的讨论 |
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| 引用本文： | 李仪,张卫国,秦英豪.一类三阶色散方程的非解析波解的讨论[J].上海理工大学学报(社会科学版),2009,31(1). |
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| 作者姓名： | 李仪 张卫国 秦英豪 |
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| 作者单位： | 上海理工大学理学院,上海,200093
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| 摘 要： | 利用分岔理论对一类三阶色散方程的非解析波解进行了研究,得出不同的非解析波解存在的条件,并得到Peakon解是广义解而非弱解的结论.
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| 关 键 词： | 广义解 弱解 分岔 Peakon解 |
Discussion of the Peakon and compacton solutions for a class of dispersion equation of third order |
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| LI Yi,ZHANG Wei-guo,QIN Ying-hao.Discussion of the Peakon and compacton solutions for a class of dispersion equation of third order[J].Journal of University of Shanghai For Science and Technilogy(Social Science),2009,31(1). |
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| Authors: | LI Yi ZHANG Wei-guo QIN Ying-hao |
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| Institution: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The non-analytical solution for a class of dispersion equation of third order is analyzed by using bifurcation theory and the method of phase portraits analysis.As a result,the analytic expression of Peakon solution is obtained.And the condition under which Peakon appears is also given.In the meantime,the conclusion that Peakon solution is the generalized solution but not a weak solution is proved. |
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| Keywords: | generalized solution weak solution bifurcation theory Peakon solution |
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