Proceedings of the 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017)

Periodic solutions to ZK-MEW equation in the form Lame equation

Authors
Chun-Huan Xiang, Hong-Lei Wang
Corresponding Author
Chun-Huan Xiang
Available Online June 2016.
DOI
https://doi.org/10.2991/mecs-17.2017.69How to use a DOI?
Keywords
nonlinear, ZK-MEW equation, Lame equation, evolution equation
Abstract
The periodic solutions to ZK-MEW equation is investigated based on an auxiliary Lame equation and the perturbation method. The periodic solutions to ZK-MEW equation is given in the form of Jacobi functions and expressed by the hyperbolic functions, the trigonometric functions with different modulus m. The results are simply discussed. This method is more powerful to seek the exact solutions of the nonlinear partial differential equations in mathematical physics.
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Volume Title
Proceedings of the 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017)
Series
Advances in Engineering Research
Publication Date
June 2016
ISBN
978-94-6252-352-4
ISSN
2352-5401
DOI
https://doi.org/10.2991/mecs-17.2017.69How 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  - Chun-Huan Xiang
AU  - Hong-Lei Wang
PY  - 2016/06
DA  - 2016/06
TI  - Periodic solutions to ZK-MEW equation in the form Lame equation
BT  - Proceedings of the 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017)
PB  - Atlantis Press
SN  - 2352-5401
UR  - https://doi.org/10.2991/mecs-17.2017.69
DO  - https://doi.org/10.2991/mecs-17.2017.69
ID  - Xiang2016/06
ER  -