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

DOI

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).

Copyright

© 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/).

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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  -