| 广义四阶色散方程的对称约化和精确解 |
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| 引用本文： | 王振立,刘希强. 广义四阶色散方程的对称约化和精确解[J]. 量子电子学报, 2014, 31(3): 264-272 |
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| 作者姓名： | 王振立 刘希强 |
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| 作者单位： | 聊城大学数学科学学院，山东 聊城 252059 |
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| 摘 要： | 运用经典对称方法解决广义四阶色散方程问题,得到对称约化和群不变解,包括双曲函数解，三角周期解和孤立子解.最后得出了该问题的守恒律.
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| 关 键 词： | 非线性方程 孤立子解 李点对称 对称约化 守恒律 |
Symmetry reduction and exact solutions of a generalized fourth-order dispersive equation |
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| Wang Zhen-li,Liu Xi-qiang. Symmetry reduction and exact solutions of a generalized fourth-order dispersive equation[J]. Chinese Journal of Quantum Electronics, 2014, 31(3): 264-272 |
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| Authors: | Wang Zhen-li Liu Xi-qiang |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | By applying the direct symmetry method to a generalized fourth-order dispersive equation, we obtain the symmetry reductions, group invariant solutions of this equation, which include hyperbolic function solutions, trigonometric function solutions and soliton solution. At last, we give the conservation laws of this equation. |
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| Keywords: | nonlinear equation soliton solution Lie point symmetry groups symmetry reduction conservation laws |
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