| 一类五阶非线性发展方程新的周期解 |
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| 引用本文： | 田应辉,陈翰林.一类五阶非线性发展方程新的周期解[J].四川师范大学学报(自然科学版),2006,29(5):539-541. |
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| 作者姓名： | 田应辉 陈翰林 |
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| 作者单位： | 西南科技大学,理学院,四川,绵阳,621010 |
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| 基金项目： | 四川省青年基金;四川省教育厅自然科学基金 |
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| 摘 要： | 通过构造辅助方程，把一类五阶非线性发展方程的求解问题转化为非线性代数方程组的求解问题，由此求得了该类五阶非线性方程的新的周期解．在极限情形，也得到了孤波解和三角函数解．
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| 关 键 词： | 五阶非线性发展方程 周期解 Jacobi椭圆函数 孤波解 |
| 文章编号： | 1001-8395（2006）05-0539-03 |
| 收稿时间： | 2005-04-11 |
| 修稿时间： | 2005年4月11日 |
New Periodic Wave Solutions for Some Fifth-order Nonlinear Evolution Equations |
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| TIAN Ying-hui,CHEN Han-lin.New Periodic Wave Solutions for Some Fifth-order Nonlinear Evolution Equations[J].Journal of Sichuan Normal University(Natural Science),2006,29(5):539-541. |
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| Authors: | TIAN Ying-hui CHEN Han-lin |
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| Institution: | School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, Sichuan |
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| Abstract: | By constructing auxiliary differential equations, the question of solving a class of fifth-order nonlinear evolution equations is reduced that of solving nonlinear algebraic equations. New periodic wave solutions expressed by Jacobi elliptic functions to the fifth-order nonlinear equations are obtained. In the limit case, solitary wave solutions and trigonometric function solutions are obtained. |
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| Keywords: | Fifth-order nonlinear evolution equations Periodic wave solutions Jacobi elliptic functions Solitary wave solutions |
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