Fission and fusion collision of high-order lumps and solitons in a (3+1)-dimensional nonlinear evolution equation
Fission and fusion collision of high-order lumps and solitons in a (3+1)-dimensional nonlinear evolution equation
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(3 1)维非线性演化方程中高阶块和孤子的裂变和聚变碰撞
DOI：
10.1007/s11071-019-04935-5
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发表时间：
2019
影响因子：
5.6
通讯作者：
Li Shengqi
中科院分区：
文献类型：
--
作者：
Liu Wei;Zheng Xiaoxiao;Wang Chu;Li Shengqi
将Kadomtsev-Petviashvili层次化简法和Hirota双线性方法相结合，得到了(3+1)维非线性发展方程的多个暗孤子解和半有理解。用这些半有理解描述了(3+1)维非线性演化方程中高阶集总与孤子裂变与融合的碰撞现象。高阶团块与孤子发生碰撞后，这些团块会熔合成线孤子或从线孤子中破裂。当团块产生或湮灭时，能量交换发生在团块和线孤子之间。
Multiple dark soliton solutions and semi-rational solutions to a (3+ 1)-dimensional nonlinear evolution equation are obtained by a combination of the Kadomtsev–Petviashvili hierarchy reduction method and the Hirota's bilinear method. The collision phenomena of fission and fusion of high-order lumps and solitons in the (3+ 1)-dimensional nonlinear evolution equation are described by these semi-rational solutions. After the collision of higher-order lumps and solitons, the lumps would fuse into or fissure from the line solitons. As lumps are created or annihilated, the exchange of energy occurs between the lumps and the line solitons.