Abstract New exact solutions, expressed in terms of the Jacobi elliptic functions, to the nonlinear Klein--Gordon equation are obtained by using a modified mapping method. The solutions include the conditions for equation's parameters and travelling wave transformation parameters. Some figures for a specific kind of solution are also presented.
Received: 16 May 2005
Revised: 30 August 2005
Accepted manuscript online:
PACS:
02.30.Jr
(Partial differential equations)
Cite this article:
Zheng Qiang (郑强), Yue Ping (岳萍), Gong Lun-Xun (龚伦训) New exact solutions of nonlinear Klein--Gordon equation 2006 Chinese Physics 15 35
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