Z. Naturforsch. 67a, 167 – 172
(2012)
doi:10.5560/ZNA.2012-0007
A Note on Exact Travelling Wave Solutions for the Klein–Gordon–Zakharov Equations
Zai-Yun
Zhang,
Ying-Hui
Zhang,
Xiang-Yang
Gan, and
De-Ming
Yu
School of Mathematics, Hunan Institute of Science and Technology, Yueyang, 414006, Hunan Province, P. R. China
Received July 26, 2011 / revised November 8, 2011 / published online April 2, 2012
In this paper, we investigate the travelling wave solutions for the Klein–Gordon–Zakharov equations by using the modified trigonometric function series method benefited to the ideas of Z. Y. Zhang, Y. X. Li, Z. H. Liu, and X. J. Miao, Commun. Nonlin. Sci. Numer. Simul. 16, 3097 (2011). Exact travelling wave solutions are obtained.
Key words: Klein–Gordon–Zakharov Equations (KGZEs); Travelling Wave Solutions; Modified Trigonometric Function Series Method (MTFSM).
PACS numbers: 05.45.Yv; 02.30.Jr; 42.81.Dp