A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Bäcklund transformations and Lax pairs
A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Bäcklund transformations and Lax pairs
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DOI：
10.1016/j.jmaa.2003.08.046
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发表时间：
2003-12
影响因子：
1.3
通讯作者：
R. Hirota;Xing-Biao Hu;Xiaoyan Tang
中科院分区：
文献类型：
--
作者：
R. Hirota;Xing-Biao Hu;Xiaoyan Tang
根据矢量势KdV方程和矢量Ito方程的双线性形式，提出了矢量势KdV方程和矢量Ito方程。得到了用pfaffian表示的孤子解。导出了矢量势KdV方程和矢量Ito方程的双线性Bäcklund变换及其对应的Lax对。
A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived.