Nonlinear Dynamics

, Volume 86, Issue 2, pp 779–788 | Cite as

Further results on the smooth and nonsmooth solitons of the Novikov equation

Original Paper


This paper is concerned with the smooth and nonsmooth soliton solutions of the Novikov equation based on the bifurcation method of dynamical systems. Two interesting results are highlighted. First, the new Hamiltonian function is established in the case of \(\varphi ^2<c\) while \(\varphi ^2>c\) is discussed in Li (Int J Bifurcat Chaos 24(3):1450037 2014). Second, we prove that the corresponding traveling wave system of the Novikov equation exists new smooth and nonsmooth soliton solutions.


The Novikov equation Soliton solutions Hamiltonian function Bifurcation method 



This work is supported by the National Natural Science Foundation of China (No. 11171115).


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.School of Mathematics and PhysicsUniversity of South ChinaHengyangChina
  2. 2.School of Mathematics and StatisticsShaoguan UniversityShaoguanChina

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