DYNAMICS OF BOUNDED TRAVELING WAVE SOLUTIONS FOR THE MODIFIED NOVIKOV EQUATION

TitleDYNAMICS OF BOUNDED TRAVELING WAVE SOLUTIONS FOR THE MODIFIED NOVIKOV EQUATION
Publication TypeJournal Article
Year of Publication2018
AuthorsWEN ZHENSHU, SHI LIJUAN
JournalDynamic Systems and Applications
Volume27
Issue3
Start Page581
Pagination12
Date Published06/2018
ISSN1056-2176
AMS Subject Classification35C07
Abstract

In this paper, we study the bifurcations and dynamics of bounded traveling wave solutions for the modified Novikov equation by combining the factorization technique and the method of dynamical systems. We show that the corresponding traveling wave system is a singular planar dynamical system with two singular straight lines, and obtain all possible phase portraits of the system. Then we show the existence and dynamics of several types of bounded traveling wave solutions including solitary wave solutions, periodic wave solutions, compacton solutions, kink-like and antikink-like solutions. The dynamics of these new bound traveling wave solutions will significantly facilitate nonlinear wave theories.
PDFhttps://acadsol.eu/dsa/articles/27/3/8.pdf
DOI10.12732/dsa.v27i3.8
Refereed DesignationRefereed
Full Text

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