Wave breaking and solitary wave solutions for a generalized Novikov equation. (February 2020)

• Record Type: Journal Article
• Authors: Zheng, Rudong; Yin, Zhaoyang
• Is Part Of: Applied mathematics letters. Volume 100(2020)
• Publication Date: 2020-02
• Subjects: A generalized Novikov equation -- Blow-up -- Solitary wave solutions -- Weak solutions; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106014
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In the paper, we mainly study wave-breaking and solitary wave solutions for a generalized Novikov equation. We first obtain a new blow-up result for strong solutions of a generalized Novikov equation in H s ( R ) for any s > 5 2 . We then study the solitary wave solutions and find a single solitary wave solution which blows up in H 1 ( R ) . This implies that the weak solutions of the equation may not be unique.