NDLI: Limiting behavior and complex dynamics of all solitary waves in the two-component Dullin–Gottwald

Content Provider	Springer Nature Link
Author	Yin, Jiuli Wu, Yanmin Xing, Qianqian Tian, Lixin
Copyright Year	2015
Abstract	All possible exotic and smooth solitary wave solutions to the two-component Dullin–Gottwald–Holm equation are investigated. We classify this equation in specified regions of the parametric space. Moreover, we give the limiting relations of all different solitary waves as the parameters trend to some special values. All solitary waves suffer from external perturbations, and these solutions turn to the chaotic state easily. In view of the variation of the control coefficient, the smooth solitary wave is the easiest one to be controlled into a stable state and the cusped solitary wave is the most difficult to be controlled under the same controller condition.
Starting Page	703
Ending Page	711
Page Count	9
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	83
Issue Number	1-2
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-09-02
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Two component Solitary wave Limiting behavior Complex dynamics Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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Limiting behavior and complex dynamics of all solitary waves in the two-component Dullin–Gottwald–Holm equation