| 形变Boussinesq方程的N-波达布变换和（2N-1）-孤子解 |
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| 引用本文： | 闻小永. 形变Boussinesq方程的N-波达布变换和（2N-1）-孤子解[J]. 北京机械工业学院学报, 2010, 0(4): 1-8 |
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| 作者姓名： | 闻小永 |
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| 作者单位： | 北京信息科技大学理学院,北京100192 |
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| 基金项目： | 北京市教育委员会科技发展计划面上项目基金资助项目（KM201010772020,KM200910772018） |
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| 摘 要： | 借助符号计算构造出形变Boussinesq方程的Lax对,构建了一个包含多参数的N-波达布变换,应用达布变换,得到形变Boussinesq方程新的（2N-1）-孤子解,通过图像研究孤子解的性质,这些解和图像对理解水波的传播现象可能有所帮助。
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| 关 键 词： | 形变Boussinesq方程 达布变换 Lax对 孤子解 符号计算 |
N-Fold Darboux transformation and(2N-1)-soliton solutions of variant boussinesq equations |
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| WEN Xiao-yong. N-Fold Darboux transformation and(2N-1)-soliton solutions of variant boussinesq equations[J]. Journal of Beijing Institute of Machinery, 2010, 0(4): 1-8 |
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| Authors: | WEN Xiao-yong |
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| Affiliation: | WEN Xiao-yong (School of Applied Sciences, Beijing Information Science and Technology University,Beijing 100192, China) |
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| Abstract: | With the aid of symbolic computation Maple,the Lax pair for variant boussinesq equations is explicitly constructed.Based on the resulting Lax pair,the N-Fold Darboux transformation with multi-parameters is presented.With Darboux transformation,we obtain new explicit（2N-1）-soliton solutions.Finally,the properties for these solutions are graphically studied,which might be helpful to understand the water wave propagation processes. |
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| Keywords: | variant boussinesq equations Darboux transformation Lax pair soliton solutions symbolic computation |
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