New Periodic Wave Solutions for MNW Hierarchy with the Aid of Computerized Symbolic Computation
- 10.2991/icmmita-16.2016.227How to use a DOI?
- Periodic wave solution; Jacobi elliptic function solution; Solitary wave solution; Trigonometric function solution; F-expansion method; MNW hierarchy
Computer has received more and more applications in various fields. In this paper, many new periodic wave solutions expressed by Jacobi elliptic functions of the Mikhauilov-Novikov- Wang (MNW) hierarchy are obtained by using the extended F-expansion method. In the limit cases, the obtained Jacobi elliptic function solutions degenerate into solitary wave solutions and trigonometric function solutions. It is shown that the extended F-expansion method with the aid of computerized symblic computation can provide a preferred mathematical tool for finding new periodic wave solutions of nonlinear partial differential equations (PDEs).
- © 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 - Luyao Zhang PY - 2017/01 DA - 2017/01 TI - New Periodic Wave Solutions for MNW Hierarchy with the Aid of Computerized Symbolic Computation 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-16.2016.227 DO - 10.2991/icmmita-16.2016.227 ID - Zhang2017/01 ER -