Journal ArticleDOI
Nonlinear evolution of Alfvén waves in a finite beta plasma
TLDR
In this paper, a general form of the derivative nonlinear Schrodinger (DNLS) equation, describing the nonlinear evolution of Alfven waves propagating parallel to the magnetic field, is derived by using two-fluid equations with electron and ion pressure tensors obtained from Braginskii.Abstract:
A general form of the derivative nonlinear Schrodinger (DNLS) equation, describing the nonlinear evolution of Alfven waves propagating parallel to the magnetic field, is derived by using two‐fluid equations with electron and ion pressure tensors obtained from Braginskii [in Reviews of Plasma Physics (Consultants Bureau, New York, 1965), Vol. 1, p. 218]. This equation is a mixed version of the nonlinear Schrodinger (NLS) equation and the DNLS, as it contains an additional cubic nonlinear term that is of the same order as the derivative of the nonlinear terms, a term containing the product of a quadratic term, and a first‐order derivative. It incorporates the effects of finite beta, which is an important characteristic of space and laboratory plasmas.read more
Citations
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Journal ArticleDOI
Dynamics of Alfvén solitons in inhomogeneous plasmas
TL;DR: In this article, a generalized variable-coefficient derivative nonlinear Schrodinger equation was investigated for the behavior of nonlinear Alfven waves in inhomogeneous plasmas, and the integrability of this equation was established under certain coefficient constraint which suggests which inhomogeneities support stable Alfven solitons.
Journal ArticleDOI
Consequences of finite ion temperature effects on parametric instabilities of circularly polarized Alfvén waves
Y. Nariyuki,Tohru Hada +1 more
TL;DR: In this article, a hybrid kinetic fluid model is derived from one-dimensional Vlasov equation for longitudinal ion motion and the FLR-Hall magnetohydrodynamic (MHD) equations for transverse directions.
Journal ArticleDOI
Alfvén-magnetosonic waves interaction in the solar corona
TL;DR: In this paper, the nonlinear propagation of the Alfven and magnetosonic waves in the solar corona is investigated in terms of model equations, and the limits of the slow and fast waves are investigated.
Journal ArticleDOI
Parallel solitary Alfvén waves in warm multi-species beam-plasma systems. Part 2. Anisotropic pressures
TL;DR: A nonlinear treatment for MHD waves that propagate parallel to the external magnetic field in warm multi-species plasmas with anisotropic pressures and different equilibrium drifts is given in this paper.
Journal ArticleDOI
Density fluctuations induced by modulational instability of parallel propagating Alfvén waves with β f ∼ 1
Y. Nariyuki,Tohru Hada +1 more
TL;DR: In this paper, the sound to Alfven velocity ratio C s / C A (C s / c A ) was investigated using a kinetic version of a kinetic verifiability test.
References
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Book
Reviews of Plasma Physics
TL;DR: In this article, Rozhansky et al. studied the relationship between transverse conductivity and the generation of self-consistent electric fields in strongly ionized magnetized plasma.
Journal ArticleDOI
An exact solution for a derivative nonlinear Schrödinger equation
David J. Kaup,Alan C. Newell +1 more
TL;DR: In this paper, a method of solution for the derivative nonlinear Schrodinger equation is presented, where the appropriate inverse scattering problem is solved and the one-soliton solution is obtained, as well as the infinity of conservation laws.
Journal ArticleDOI
On the modulational instability of hydromagnetic waves parallel to the magnetic field
TL;DR: In this paper, the stability of circularly polarized waves of finite amplitude propagating parallel to the magnetic field is studied. And the authors show that finite amplitude always promotes stability, while amplitude dependent stability conditions for long waves, previously obtained by the author, are confirmed.
Journal ArticleDOI
Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
TL;DR: In this article, the basic nonlinear equation which describes the Alfven waves, with small but finite amplitude propagating along the magnetic field in cold plasmas, is derived modifying the reductive perturbation method proposed by Taniuti and Wei.
Journal ArticleDOI
Self-Trapping and Instability of Hydromagnetic Waves Along the Magnetic Field in a Cold Plasma
Tosiya Taniuti,Haruichi Washimi +1 more
TL;DR: In this paper, the self-trapping and the modulational instability of nonlinear hydromagnetic $n$ waves of right-hand polarization in a cold plasma are discussed on the basis of a nonlinear dispersive equation, which enables us to directly apply the results obtained in the nonlinear optics.
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