期刊
NONLINEAR DYNAMICS
卷 111, 期 5, 页码 4657-4671出版社
SPRINGER
DOI: 10.1007/s11071-022-08049-3
关键词
Mel'nikov system; Bright-dark mixed N-soliton; tau function; KP-hierarchy reduction method
Based on the KP-hierarchy reduction method, we constructed a novel bright-dark mixed N-soliton for the (3 + 1)-component Mel'nikov system and discussed two types of solitons based on different combinations. Finally, we extended the model to a multi-component case and provided the generalized form of the bright-dark mixed N-soliton in Gram determinant form.
Based on the KP-hicrarchy reduction method, we construct the novel bright-dark mixed N-soliton for the (3 + 1)-component Mel'nikov system including 3-component short waves (SWs) and one-component long wave (LW) for all possible combinations of nonlinearity coefficients. It is verified that dark or bright solitons can exist in the SW components, but only bright solitons appear in the LW component. According to different combinations of solitons in three different SW components, the bright-dark mixed N-soliton for the (3 + 1)-component Mel'nikov system is mainly discussed into two types that two-brightone-dark and one-bright-two-dark solitons. Finally, the (3 + 1)-component Mel'nikov system can be directly extended to (M + 1)-component (M >= 3) case comprised of M-component SWs and one-component LW, and the bright-dark mixed N-soliton for the multi-component generalization is also given in Gram determinant form.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据