Traveling wave solutions to a class of generalized K(m,n)equations
This article studied traveling wave solutions to the generalized K(m,n)equations by the qualitative theory of dif-ferential equations and the bifurcation method of dynamical systems.Two cases are considered:the K(1,3,2)equation and the K(2,3,3)equation.Under the different parameter conditions,compactons of the K(1,3,2)equation are derived,compactons and periodic blow-up wave solutions of the K(2,3,3)equation are obtained.The bifurcation phase of the plane system and the figure of traveling wave solutions are analyzed by numerical simulations.
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