Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system
Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system
复制标题
DOI：
10.1016/j.aml.2019.02.015
复制
发表时间：
2019-08
期刊：
影响因子：
--
通讯作者：
Jiguang Rao;Jingsong He;D. Mihalache;Yi Cheng
中科院分区：
文献类型：
--
作者：
Jiguang Rao;Jingsong He;D. Mihalache;Yi Cheng
在这封信中，我们调查的动力学和各种相互作用的情况下，本地化波结构的Kadomtsev Petviashvili（KP）为基础的系统。利用Hirota双线性方法和KP族降阶方法相结合的方法，得到了该KP型系统的新的行列式半有理解族，包括集总孤子和游荡波孤子.不同类型的局域波解之间的通用相互作用的情况进行了研究。详细的研究揭示了不同类型的相互作用现象：块孤子和线孤子融合成线孤子，线孤子分裂成块孤子和线孤子，块孤子和线孤子分裂和融合的混合过程，以及线流氓波和线孤子的非弹性碰撞。
In this letter, we investigate the dynamics and various interaction scenarios of localized wave structures in the Kadomtsev–Petviashvili (KP)-based system. By using a combination of the Hirota’s bilinear method and the KP hierarchy reduction method, new families of determinant semi-rational solutions of the KP-based system are derived, including lump solitons and rogue-wave solitons. The generic interaction scenarios between distinct types of localized wave solutions are investigated. Our detailed study reveals different types of interaction phenomena: fusion of lumps and line solitons into line solitons, fission of line solitons into lumps and line solitons, a mixture of fission and fusion processes of lumps and line solitons, and the inelastic collision of line rogue waves and line solitons.