Computer Applications to Exact solutions of AKNS Hierarchy with Variable Coefficients
Sheng Zhang, Bin Cai
Available Online December 2015.
- https://doi.org/10.2991/icmmcce-15.2015.130How to use a DOI?
- Computer symbolic computation; Exact solution; AKNS hierarchy
- It is well known that computer has been widely used in almost all fields. In this paper, Hirota’s bilinear method with computer symbolic computation is extended to a new AKNS hierarchy with variable coefficients. As a result, one-soliton solutions and two-soliton solutions are obtained. Through the analysis of the obtained one-soliton solutions and two-soliton solutions, a uniform formulae of n-soliton solutions are derived. It is shown from computer running that the obtained one-soliton solutions and two-soliton solutions satisfy the AKNS hierarchy.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Sheng Zhang AU - Bin Cai PY - 2015/12 DA - 2015/12 TI - Computer Applications to Exact solutions of AKNS Hierarchy with Variable Coefficients BT - 2015 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering PB - Atlantis Press SP - 645 EP - 649 SN - 2352-538X UR - https://doi.org/10.2991/icmmcce-15.2015.130 DO - https://doi.org/10.2991/icmmcce-15.2015.130 ID - Zhang2015/12 ER -