| 一类具有纯非线性耗散的广义Kdv方程和Kp方程的行波解 |
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| 引用本文： | 李玺,纳静.一类具有纯非线性耗散的广义Kdv方程和Kp方程的行波解[J].昆明理工大学学报(理工版),2006,31(4):118-120,124. |
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| 作者姓名： | 李玺 纳静 |
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| 作者单位： | 昆明理工大学,理学院,云南,昆明,650093;云南财经大学,计算机科学系,云南,昆明,650221 |
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| 摘 要： | 通过运用动力系统分支理论,对两个具有纯非线性耗散的广义Kdv和Kp方程变式进行研究,获得了系统在各种参数条件下可能存在的孤立行波解、不可数无穷多光滑周期行波解和不光滑行波解,并就不同参数条件给出了上述解存在的充分条件.
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| 关 键 词： | 行波解 广义Kdv方程 广义Kp方程 |
| 文章编号： | 1007-855X（2006）04-0118-03 |
| 收稿时间： | 2005-05-13 |
| 修稿时间： | 2005-05-13 |
Traveling Wave Solutions to the Generalized Kdv and Kp Equations with Pure Nonlinear Dispersion |
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| LI Xi,NA Jing.Traveling Wave Solutions to the Generalized Kdv and Kp Equations with Pure Nonlinear Dispersion[J].Journal of Kunming University of Science and Technology(Natural Science Edition),2006,31(4):118-120,124. |
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| Authors: | LI Xi NA Jing |
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| Affiliation: | 1. Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China ; 2. Computer Science Department, Yunnan University of Finance and Economics, Kunming 650221, China |
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| Abstract: | Two variants of the generalized Kdv and Kp equations with pure nonlinear terms are studied.By employing the theory of bifurcations of dynamic systems,the existence of solitary traveling wave solutions,countless smooth periodic wave solutions and non-smooth periodic traveling wave solutions are obtained.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given. |
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| Keywords: | traveling wave solutions generalized Kdv equation generalized Kp equation |
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