Pfaffian Solutions and Resonant Interaction Properties of a Coupled BKP Lattice
Pfaffian Solutions and Resonant Interaction Properties of a Coupled BKP Lattice
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DOI：
10.1088/0253-6102/62/2/11
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发表时间：
2014-08
影响因子：
3.1
通讯作者：
Hai-qiong Zhao;Guo-Fu Yu
中科院分区：
文献类型：
--
作者：
Hai-qiong Zhao;Guo-Fu Yu
本文利用Hirota算子给出了一个耦合格方程，该方程来源于一个特殊的BKP格。构造了耦合系统的双孤子解和三孤子解。进一步详细分析了双孤子解的共振相互作用。在一些特殊的谐振条件下，证明了低孤子比高孤子传播速度快。最后，给出了n孤子解的普氏形式。
In this paper, we give a coupled lattice equation with the help of Hirota operators, which comes from a special BKP lattice. Two-soliton and three-soliton solutions to the coupled system are constructed. Furthermore, resonant interaction of the two-soliton solution is analyzed in detail. Under some special resonant condition, it is shown that low soliton can propagate faster than high one. Finally, the N-soliton solution is presented in the Pfaffian form.