Author(s)

Xinqian Lin, Shengqiang Tang, Wentao Huang

School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China.

In this paper, by using the sine-cosine method, the extended tanh-method, and the rational hyperbolic functions method, we study a class of nonlinear equations which derived from a fourth order analogue of generalized Camassa-Holm equation. It is shown that this class gives compactons, solitary wave solutions, solitons, and periodic wave solutions. The change of the physical structure of the solutions is caused by variation of the exponents and the coefficients of the derivatives.

The CH(n, 2n – 1, 2n, –n) Equation; Compactons; Sine-Cosine Method and the Extended Tanh Method; Rational Hyperbolic Functions Method

X. Lin, S. Tang and W. Huang, "The Extended Tanh Method for Compactons and Solitons Solutions for the CH(n,2n – 1,2n,–n) Equations," Journal of Information Security, Vol. 3 No. 3, 2012, pp. 185-188. doi: 10.4236/jis.2012.33022.