Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation (Q1036207)

The main purpose in this paper is to explicitly compute the multipeakon solutions of new integrable PDE \[ u_{t}-u_{xxt}+4u^{2}u_{x}=3uu_{x}u_{xx}+u^{2}u_{xxx} \] which is of the Camassa-Holm form \[ u_{t}-u_{xxt}=F(u,u_{x},u_{xx},\dots) \] but has cubically nonlinear terms instead of quadratic.