A smooth soliton solution and a periodic cuspon solution of the Novikov equation

In this paper, solutions of a Novikov equation are discussed based on the bifurcation method of dynamical systems. Through establishing a Hamiltonian function, the existence of a smooth soliton solution and a periodic cuspon solution are established for the corresponding traveling wave system of the...

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Bibliographic Details
Published in:Applied mathematics letters 2021-02, Vol.112, p.106786, Article 106786
Main Authors: Zheng, Xiaoxiao, Xiao, Qizhen, Ouyang, Zigen
Format: Article
Language:English
Subjects:
Bifurcation method
Novikov equation
Periodic cuspon solution
Soliton solution
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Summary:In this paper, solutions of a Novikov equation are discussed based on the bifurcation method of dynamical systems. Through establishing a Hamiltonian function, the existence of a smooth soliton solution and a periodic cuspon solution are established for the corresponding traveling wave system of the Novikov equation. Numerical results are carried out to illustrate the feasibility of the main results. All these theories can be seen to fill the gap of the literatures Li (2014) and Pan and Li (2016).
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106786