This paper focuses on the nonlinear Klein-Gordon equation with dual power law nonlinearity. The traveling wave hypothesis reveals an implicit solution in terms of Gauss' hypergeometric functions. The bifurcation analysis is subsequently carried out that gives an additional set of solutions. The phase portraits of the solutions are also given.

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This paper carried out a study on the contribution of wind farm to power balance of power system by wind power output control. The study mainly focuses on active power control capability of double feed induction generator (DFIG) based wind turbine, active power control mode of wind farm and capability of wind farm to participating in peak-load regulation. According to the National standard of China GB/T 19963-2011, a study case is given to simulate the impact of wind farm grid integration based on a real power system in order to validate the active power mode and control process presented in the paper.

In this paper, we consider a Camassa and Holm-Degasperis and Procesi (CH-DP) equation $u {t}-c {0}u {x}+4uu {x}-\alphaˆ2(u {xxt}+uu {xxx}+3u {x}u {xx})+\gamma u {xxx}=0$. By using the bifurcation method of dynamical systems, some new explicit compacton and generalized kink wave solutions are presented through some special phase orbits. The results of before references are extended.