Multi-soliton solutions for a nonlocal complex coupled dispersionless equation
Multi-soliton solutions for a nonlocal complex coupled dispersionless equation
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DOI：
10.1016/j.cnsns.2019.105028
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发表时间：
2020-03
期刊：
影响因子：
--
通讯作者：
Jialiang Ji;Jun Yang;Zuo-nong Zhu
中科院分区：
文献类型：
--
作者：
Jialiang Ji;Jun Yang;Zuo-nong Zhu
耦合无色散方程是量子物理中的一个重要模型。复杂耦合无色散方程在几何学中有重要的应用。最近，Ablowitz和Musslimani引入并研究了一大类逆空间、逆时间和逆时空的非局部可积方程。本文研究了在论文[1]中提出的一个逆时空非局域复耦合无色散方程。利用达布变换，从零种子和非零种子得到了它的多孤子解。讨论了这些解的渐近性质。
Coupled dispersionless equation is an important model in quantum physics. Complex coupled dispersionless equation has valuable applications in geomerty. Recently, Ablowitz and Musslimani introduced and investigated a large class of reverse space, reverse time and reverse space-time nonlocal integrable equations. In this paper, we investigate a reverse space-time nonlocal complex coupled dispersionless equation, which was proposed in our paper [1]. By means of the Darboux transformation, we obtain its multi-soliton solutions from zero seed and nonzero seed. The asymptotic behavior of these solutions is discussed.