| 广义变系数五阶KdV和BBM方程的孤立子解 |
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| 引用本文： | 孙玉真,王振立,王岗伟,刘希强.广义变系数五阶KdV和BBM方程的孤立子解[J].量子电子学报,2013,30(4):398-404. |
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| 作者姓名： | 孙玉真 王振立 王岗伟 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： | 利用假设孤立波方法，研究了广义变系数五阶KdV方程和BBM方程，得到了广义变系数五阶KdV方程和BBM方程的孤立子解。对于得到的孤立子解，为了保证解的存在性，给出了孤立子解存在的条件。
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| 关 键 词： | 孤立子 假设方法 变系数 五阶KdV方程 BBM方程 |
| 收稿时间： | 2013-01-21 |
| 修稿时间： | 2013-03-01 |
Soliton solutions for generalized fifth-order KdV and BBM equations with variable coefficients |
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| Sun Yu-zhen,Wang Zhen-li,Wang Gang-wei,Liu Xi-qiang.Soliton solutions for generalized fifth-order KdV and BBM equations with variable coefficients[J].Chinese Journal of Quantum Electronics,2013,30(4):398-404. |
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| Authors: | Sun Yu-zhen Wang Zhen-li Wang Gang-wei Liu Xi-qiang |
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| Affiliation: | School of Mathematics Science，Liaocheng University，Liaocheng 252059，China |
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| Abstract: | The wave soliton ansatz was performed for both the generalized fifth-order KdV and BBM equations. The soliton solutions for both the generalized ?fth-order KdV and BBM equations are given. For the soliton solutions, to guarantee the existence of the above soliton solutions, the conditions of existence of soliton solutions are presented. |
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| Keywords: | solitons ansatz method variable coefficients fifth-order KdV equation BBM equation |
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