Bifurcation of Peakons and Cuspons of the Integrable Novikov Equation
نویسندگان
چکیده
By applying the bifurcation theory of dynamical systems to the Novikov equation, a new feature of non-smooth traveling wave solutions, two peakons or two cuspons that coexist for the same wave speed, is put forward. It is shown that 0 = g is the peakon bifurcation value in the process of obtaining the bifurcation of phase portraits, where g is a certain integration constant. In particular, we obtain both stationary and periodic cuspon solutions of the Novikov equation.
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