Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015

Computer Applications to Exact solutions of AKNS Hierarchy with Variable Coefficients

Authors
Sheng Zhang, Bin Cai
Corresponding Author
Sheng Zhang
Available Online December 2015.
DOI
https://doi.org/10.2991/icmmcce-15.2015.130How to use a DOI?
Keywords
Computer symbolic computation; Exact solution; AKNS hierarchy
Abstract
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.
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Proceedings
2015 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering
Part of series
Advances in Computer Science Research
Publication Date
December 2015
ISBN
978-94-6252-133-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmmcce-15.2015.130How to use a DOI?
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
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  -