| (2+1)维KdV方程的Wronskian行列式解 |
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| 引用本文： | 郭婷婷. (2+1)维KdV方程的Wronskian行列式解[J]. 太原科技大学学报, 2011, 32(3): 239-241 |
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| 作者姓名： | 郭婷婷 |
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| 作者单位： | 山西大学商务学院,太原,030031 |
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| 摘 要： | 在寻求非线性发展方程孤子解的过程中,Hirota提出了一种有效的方法。在Hirota方法的基础上,构造出(2+1)维KdV方程的Wronskian行列式解。运用了Wronskian技术,其优势在于解的验证,最终将化归为行列式的普朗克关系式。
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| 关 键 词： | Hirota方法 (2+1)维KdV方程 Wronskian行列式解 |
Wronskian Solution of the (2 + 1) Dimensionai KdV Equation |
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| GUO Ting-ting. Wronskian Solution of the (2 + 1) Dimensionai KdV Equation[J]. Journal of Taiyuan University of Science and Technology, 2011, 32(3): 239-241 |
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| Authors: | GUO Ting-ting |
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| Affiliation: | GUO Ting-ting (Business College of Shanxi University,Taiyuan 030031,China) |
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| Abstract: | Hirota proposed a powerful method in soliton theory for seeking soliton solutions to the nonlinear evolution equations.Based on the Hirota method,we present the Wronskian determinant solution to(2+1)-dimensional KdVequation.By virture of some determinantal identities,the Wronslian solutions are verified by direct substitution into the bilinear form of the soliton equations |
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| Keywords: | Hirota method (2 1) dimensional KdV equation Wronskian determinant solution |
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