Dynamical behaviors of traveling wave solutions of a generalized \(K(N,2n, -N)\) equations (Q2422070)

Summary: 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 [\textit{A.-M. Wazwaz}, Appl. Math. Comput. 173, No. 1, 213--230 (2006; Zbl 1089.65113)].