Chaos and Intermittency in the DNLS Equation Describing the Parallel Alfvén Wave Propagation
Joint Authors
Costa, Andrea
Krause, Gustavo
Elaskar, Sergio
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-14
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
When the Hall effect is included in the magnetohydrodynamics equations (Hall-MHD model) the wave propagation modes become coupled, but for propagation parallel to the ambient magnetic field the Alfvén mode decouples from the magnetosonic ones, resulting in circularly polarized waves that are described by the derivative nonlinear Schrödinger (DNLS) equation.
In this paper, the DNLS equation is numerically solved using spectral methods for the spatial derivatives and a fourth order Runge-Kutta scheme for time integration.
Firstly, the nondiffusive DNLS equation is considered to test the validity of the method by verifying the analytical condition of modulational stability.
Later, diffusive and excitatory effects are incorporated to compare the numerical results with those obtained by a three-wave truncation model.
The results show that different types of attractors can exist depending on the diffusion level: for relatively large damping, there are fixed points for which the truncation model is a good approximation; for low damping, chaotic solutions appear and the three-wave truncation model fails due to the emergence of new nonnegligible modes.
American Psychological Association (APA)
Krause, Gustavo& Elaskar, Sergio& Costa, Andrea. 2014. Chaos and Intermittency in the DNLS Equation Describing the Parallel Alfvén Wave Propagation. Journal of Astrophysics،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-499974
Modern Language Association (MLA)
Krause, Gustavo…[et al.]. Chaos and Intermittency in the DNLS Equation Describing the Parallel Alfvén Wave Propagation. Journal of Astrophysics No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-499974
American Medical Association (AMA)
Krause, Gustavo& Elaskar, Sergio& Costa, Andrea. Chaos and Intermittency in the DNLS Equation Describing the Parallel Alfvén Wave Propagation. Journal of Astrophysics. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-499974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499974