非线性Klein—Gordon方程新的精确解

doi:10.3969/j.issn.1671-7775.2010.01.025

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Abstract In this paper four new Jacobian elliptic functions are created by applying methods of projection Riceati 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 Mathematiea. 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.

Key words： Klein- Gordon equation ')" href="#">Klein- Gordon equation generalized Jaeobian elliptic function expansion method ')" href="#">generalized Jaeobian elliptic function expansion method exact solutions ')" href="#">exact solutions periodic solutions')" href="#">periodic solutions solitary wave solutions')" href="#">solitary wave solutions

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	Lu Dianchen
	Yang Libo
	Hong Baojian

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Lu Dianchen,Yang Libo,Hong Baojian. New exact solutions of Klein- Gordon[J]. Journal of JIangsu University(Natural Science Eidt, 2010, 31(1): 120-124.

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http://zzs.ujs.edu.cn/xbzkb/EN/10.3969/j.issn.1671-7775.2010.01.025 OR http://zzs.ujs.edu.cn/xbzkb/EN/Y2010/V31/I1/120

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