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

DOI

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.

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  - 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  - 10.2991/mecs-17.2017.69
ID  - Xiang2016/06
ER  -