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In this paper, the analytical and numerical evaluation of a generalized K(n, 2n, -n) equation is studied by the qualitative theory of bifurcations method. The result shows the existence of the different kinds of traveling wave solutions of the generalized K(n, 2n, -n) equation, including solitary waves, kink and anti-kink waves, periodic wave and compacton wave, which depend on different parametric ranges. These results completely improve the study of traveling wave solutions for the mentioned model stated in Wazwaz (App. Math. & Compu. 173 (2006) 213-230). 2010 Mathematics Subject Classification. 34A05, 34C25-28, 34M55.

Dynamical Behaviors of Traveling Wave Solutions of a Generalized K(N,2n, -N) Equations