| 具耗散项的对称正则长波方程的定性分析及显式解 |
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| 引用本文： | 张卫国,任迎春,刘刚.具耗散项的对称正则长波方程的定性分析及显式解[J].上海理工大学学报(社会科学版),2008,30(1):1-6. |
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| 作者姓名： | 张卫国 任迎春 刘刚 |
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| 作者单位： | 上海理工大学 理学院，上海理工大学 理学院，上海理工大学 理学院 上海 200093，上海 200093，上海 200093 |
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| 基金项目： | 上海市重点学科建设项目
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上海市教委资助项目 |
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| 摘 要： | 运用常微分方程定性理论中的相平面分析方法讨论了具耗散项的对称正则长波方程的行波解,得到了关于其有界行波解的存在性、单调性及振荡性的若干结果,并求出了一类扭状精确孤波解和振荡解的近似解.
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| 关 键 词： | 对称正则长波方程 定性分析 全局相图 扭状解 振荡解 |
Qualitative analysis and explicit solution of the symmetric regularized long wave equation with dissipative term |
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| ZHANG Wei-guo,REN Ying-Chun,LIU Gang.Qualitative analysis and explicit solution of the symmetric regularized long wave equation with dissipative term[J].Journal of University of Shanghai For Science and Technilogy(Social Science),2008,30(1):1-6. |
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| Authors: | ZHANG Wei-guo REN Ying-Chun LIU Gang |
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| Abstract: | By using phase plane analysis and qualitative theory with respect to ordinary differential e- quations,the traveling wave solutions of the symmetric regularized long wave equation with dissipative term are studied,and some results about the characteristics of its bounded traveling wave solution,such as existence,monotony and oscillation property,are achieved.An exact kink solitary wave solution and an approximate solution of oscillatory solution are obtained. |
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| Keywords: | symmetric regularized long wave equation qualitative analysis global phase portraits kink solution oscillatory solution |
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