| 首次积分法及其在非线性发展方程中的应斥 |
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| 引用本文： | 刘文健,桑波. 首次积分法及其在非线性发展方程中的应斥[J]. 聊城大学学报(自然科学版), 2011, 0(2): 13-17 |
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| 作者姓名： | 刘文健 桑波 |
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| 作者单位： | 聊城大学数学科学学院; |
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| 基金项目： | 国家自然科学基金和中国工程物理研究院联合基金资助项目(11076015) |
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| 摘 要： | 结合首次积分法和求微分系统的多项式首次积分的递推公式方法，提出了一种新的首次积分法，并利用此方法得到了组合的KdV与MKdV方程和（2＋1）维Zakharov-Kuznetsov方程的一些新的精确解．
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| 关 键 词： | 首次积分法 组合的KdV与MKdV方程 (2+1)维KP-BBM波动方程 精确解 |
The First Integral Method and Its Applications in Nonlinear Volution Equations |
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| LIU Wen-jian SANG Bo. The First Integral Method and Its Applications in Nonlinear Volution Equations[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 2011, 0(2): 13-17 |
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| Authors: | LIU Wen-jian SANG Bo |
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| Affiliation: | LIU Wen-jian SANG Bo (School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | In the present letter,a new first integral method is proposed by studying first integral method and recurrence formula of polynomial first integral.The method is applied combined KdV and MKdV equation and ZK equation.As a restart,some new exact solution are obtained. |
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| Keywords: | first integral method combined KdV and MKdV equation ZK equation explicit solutions |
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