A New Variable-Coefficient AKNS Hierarchy and its Exact Solutions via Inverse Scattering transform
Sheng Zhang, Xudong Gao
Available Online January 2017.
- 10.2991/icmmita-16.2016.228How to use a DOI?
- Variable-coefficient AKNS hierarchy; Exact solution; Inverse scattering transform
In this paper, a new variable-coefficient AKNS (vcAKNS) hierarchy is derived from the associated with linear spectral problem and its time evolution equation. The derived vcAKNS hierarchy is a solvable mixed hierarchy which contains isospectral nonlinear partial differential equations (PDEs) and nonisospectral nonlinear PDEs. To exactly solve the vcAKNS hierarchy, inverse scattering transform method is employed. Based on a systematic analysis, the formulae of exact solutions of the vcAKNS hierarchy are obtained. In the case of reflectionless potentials, the obtained exact solutions are reduced to n-soliton solutions.
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Sheng Zhang AU - Xudong Gao PY - 2017/01 DA - 2017/01 TI - A New Variable-Coefficient AKNS Hierarchy and its Exact Solutions via Inverse Scattering transform BT - Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications PB - Atlantis Press SN - 2352-538X UR - https://doi.org/10.2991/icmmita-16.2016.228 DO - 10.2991/icmmita-16.2016.228 ID - Zhang2017/01 ER -