Geodesic
Bifurcation of traveling wave solutions of a generalized \(K(n,n)\) equation
Electronic journal of differential equations, Tome 2014 (2014)
In this article, a generalized $K(n,n)$ equation is studied by the qualitative theory of bifurcations and the method of dynamical systems. The result shows the existence of the different kinds of traveling solutions of the generalized $K(n,n)$ equation, including solitary waves, kink waves, periodic wave and compacton solutions, which depend on different parametric ranges. Moreover, various sufficient conditions to guarantee the existence of the above traveling solutions are provided under different parameters conditions.
Classification : 34C25-28, 35B08, 35B10, 35B40
Keywords: solitary wave, periodic wave, kink wave, compatons, bifurcation 
@article{EJDE_2014__2014__a50,
     author = {Zhao,  Xiaoshan and Zhao,  Guanhua and Peng,  Linping},
     title = {Bifurcation of traveling wave solutions of a generalized {\(K(n,n)\)} equation},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1377.34053},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a50/}
}
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Zhao,  Xiaoshan; Zhao,  Guanhua; Peng,  Linping. Bifurcation of traveling wave solutions of a generalized \(K(n,n)\) equation. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a50/