Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications

New Periodic Wave Solutions for MNW Hierarchy with the Aid of Computerized Symbolic Computation

Authors
Sheng Zhang, Luyao Zhang
Corresponding Author
Sheng Zhang
Available Online January 2017.
DOI
https://doi.org/10.2991/icmmita-16.2016.227How to use a DOI?
Keywords
Periodic wave solution; Jacobi elliptic function solution; Solitary wave solution; Trigonometric function solution; F-expansion method; MNW hierarchy
Abstract
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).
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Proceedings
2016 4th International Conference on Machinery, Materials and Information Technology Applications
Part of series
Advances in Computer Science Research
Publication Date
January 2017
ISBN
978-94-6252-285-5
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmmita-16.2016.227How 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  - Luyao Zhang
PY  - 2017/01
DA  - 2017/01
TI  - New Periodic Wave Solutions for MNW Hierarchy with the Aid of Computerized Symbolic Computation
BT  - 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  - https://doi.org/10.2991/icmmita-16.2016.227
ID  - Zhang2017/01
ER  -