基于双线性算子计算Boussinesq方程的孤子解 |
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引用本文: | 相春环.基于双线性算子计算Boussinesq方程的孤子解[J].渝西学院学报(自然科学版),2011(6):9-12. |
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作者姓名: | 相春环 |
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作者单位: | 重庆文理学院数学与统计学院,重庆永川402160 |
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基金项目: | 重庆文理学院重点项目(Z2010ST16);重庆文理学院教学改革与研究项目(100239); 重庆市教委项目(KJ101201,KJ101212) |
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摘 要: | 文章通过引入双线性算子,经等价变换得到双线性算子表示下的Boussinesq方程.将幂级数表示的函数代入变换后的方程求得方程的单孤子、双孤子、N孤子以及一般方程的解析解,并用三维图像成功展示了单孤子、双孤子随时间变化的相互作用过程,结果推广了方程的非线性解.Boussinesq方程孤子解析解及其三维显示,有助于对波浪破碎模型和水深变化方程的理解.
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关 键 词: | 双线性算子 Boussinesq方程 孤子解 |
The soliton solution of Boussinesq equation based on bilinear operator |
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Authors: | XIANG Chun-huan |
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Institution: | XIANG Chun-huan (College of Mathematics and Statistics,Chongqing University of Arts and Sciences,Yongchuan Chongqing 402160,China) |
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Abstract: | The nonlinear Boussinesq equation is transformed and expressed by using bilinear operator.The soliton solutions are obtained through the function expanded by series,and then,the interaction of them is showed up in 3-D figure.Meanwhile,the soliton solutions of the equation help us to learn more about the wave fraction model and the equation with variation of the deep of the water. |
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Keywords: | bilinear operator Boussinesq equation soliton solution |
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