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Mi, Y. and Mu, C. (2013) On the Cauchy Problem for the Modified Novikov Equation with Peakon Solutions. Journal of Differential Equations, 254, 961-982.
https://doi.org/10.1016/j.jde.2012.09.016

has been cited by the following article:

• TITLE: Bifurcations and Traveling Wave Solutions of a Generalized b-Family of Novikov Equation

  AUTHORS: Cheng Wei, Heng Su, Xiaojing Zhao

  KEYWORDS: A Generalized b-Family of Novikov Equation, Traveling Wave Solution, Bifurcation Theory

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.11, November 3, 2025

  ABSTRACT: The Novikov equation is an important shallow water wave model with broad applications in fields, such as fluid mechanics and physics. In this paper, a generalized b-family of Novikov equation is studied by the bifurcation theory method of dynamical system. Firstly, this model is transformed into a planar Hamiltonian system through the traveling wave transformation. Then, the phase portraits of the planar dynamical system under different parameters are then generated using Maple. And two new types of implicit traveling wave solutions are obtained.