期刊
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
卷 19, 期 3-4, 页码 251-262出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/ijnsns-2016-0191
关键词
lax integrability; exact solution; soliton solution; vcniAKNS hierarchy; inverse scattering transform
资金
- Natural Science Foundation of China [11547005]
- Natural Science Foundation of Liaoning Province of China [20170540007]
- Natural Science Foundation of Education Department of Liaoning Province of China [LZ2017002]
- Innovative Talents Support Program in Colleges and Universities of Liaoning Province [LR2016021]
In this paper, a variable-coefficient and nonisospectral Ablowitz-Kaup-Newell-Segur (vcniAKNS) hierarchy with Lax integrability is constructed by embedding a finite number of differentiable and time-dependent functions into the well-known AKNS spectral problem and its time evolution equation. In the framework of inverse scattering transform method with time-varying spectral parameter, the constructed vcniAKNS hierarchy is solved exactly. As a result, exact solutions and their reduced n-soliton solutions of the vcniAKNS hierarchy are obtained. It is graphically shown that the parity of an embedded time-dependent function has connection with the symmetrical characteristics of the spatial structures and singular points of the obtained one-soliton solutions.
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