New exact solutions of Klein-Gordon

作者:Lu Dianchen*; Yang Libo; Hong Baojian
来源:Journal of Jiangsu University(Natural Science Edition), 2010, 31(1): 120-124.
DOI:10.3969/j.issn.1671-7775.2010.01.0025

摘要

In this paper four new Jacobian elliptic functions are created by applying methods of projection Riccati equation and Jacobian elliptic functions expansion, which generalize the second method. Moreover, the exact periodic solutions to nonlinear Klein-Gordon equations are given by means of symbolic computation system Mathematica. In particular, the solutions will degenerate to solitary wave solutions and triangle function solutions when the modulus of the Jacobian elliptic function m approaches to 1 or 0.

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