The N-soliton solutions of the sine-Gordon equation with self-consistent sources
The N-soliton solutions of the sine-Gordon equation with self-consistent sources
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DOI：
10.1016/s0378-4371(02)01742-9
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发表时间：
2003-04
影响因子：
3.3
通讯作者：
Da‐jun Zhang;Dengyuan Chen
中科院分区：
文献类型：
--
作者：
Da‐jun Zhang;Dengyuan Chen
利用递归算子的特征函数，导出了具有自洽源的正弦戈登方程的层次结构。给出了具有自洽源的正弦-戈登方程的双线性形式，并分别用Hirota法和Wronskian技术得到了n -孤子解。提出了一些新的行列式恒等式来处理时间演化中的非线性项，并完成了朗斯基式的验证。
The hierarchy of the sine-Gordon equation with self-consistent sources is derived by using the eigenfunctions of recursion operator. The bilinear form of the sine-Gordon equation with self-consistent sources is given and the N-soliton solutions are obtained through Hirota method and Wronskian technique, respectively. Some novel determinantal identities are presented to treat the nonlinear term in the time evolution and finish the Wronskian verifications.