New Exact Periodic Wave Solutions of the Nonlinear Klein-gordon Equation

DOI

10.2991/iccasm.2012.125How to use a DOI?

Keywords

Nonlinear Klein-Gordon equation, Jacobi elliptic function, Periodic wave solutions

Abstract

To the non-linear Klein-Gordon equations, the undetermined assumption method is used to get the exact periodic wave solution in the form of Jacobi elliptic function fraction and with the asymptotic values non-zero. The condition for their existence and boundness are obtained and the impact of the change of travelling periodic wave velocity is revealed upon the periodic wave solution and the size of the period.

Copyright

© 2012, 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  - Jianzhong Hao
AU  - Li Zhuo
AU  - Ting Wang
AU  - Jinbo Liu
AU  - Gang Liu
PY  - 2012/08
DA  - 2012/08
TI  - New Exact Periodic Wave Solutions of the Nonlinear Klein-gordon Equation
BT  - Proceedings of the 2012 International Conference on Computer Application and System Modeling (ICCASM 2012)
PB  - Atlantis Press
SP  - 490
EP  - 492
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccasm.2012.125
DO  - 10.2991/iccasm.2012.125
ID  - Hao2012/08
ER  -