Computer Applications to Exact solutions of AKNS Hierarchy with Variable Coefficients

DOI

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.

Copyright

© 2015, 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/).

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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  - Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015
PB  - Atlantis Press
SP  - 645
EP  - 649
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmcce-15.2015.130
DO  - 10.2991/icmmcce-15.2015.130
ID  - Zhang2015/12
ER  -