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KdV方程矩阵形式的精确解
Matrix form of exact solutions to the KdV equation
【摘要】 运用双线性方法与Wronskian技巧,得到了KdV方程Wronskian形式的孤子解,并由此推出了该方程的Positon解、Negaton解及有理解等.此方法比传统的Wronskian技巧更加综合和通用,可用于其他孤子方程的求解.
【Abstract】 A matrix extension was presented for constructed much broader class of exact solutions to the KdV equation through the Wronskian technique.The obtained solutions formulas provided ones with a comprehensive approach to construct the existing solutions.The method used was general that could be applied to other soliton equations.
【关键词】 Hirota方法;
KdV方程;
Wronskian技巧;
矩阵表示;
【Key words】 Hirota method; KdV equation; Wronskian technique; matrix form;
【Key words】 Hirota method; KdV equation; Wronskian technique; matrix form;
【基金】 国家自然科学基金资助项目(10771196)
- 【文献出处】 浙江师范大学学报(自然科学版) ,Journal of Zhejiang Normal University(Natural Sciences) , 编辑部邮箱 ,2009年02期
- 【分类号】O175.24
- 【被引频次】3
- 【下载频次】121