Response to “Comment on ‘Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma’” [Phys. Plasmas 24, 094701 (2017)]

Abstract

On our previous construction [H. L. Zhen et al., Phys. Plasmas 23, 052301 (2016)] of the soliton solutions of a model describing the dynamics of the dust particles in a weakly ionized, collisional dusty plasma comprised of the negatively charged cold dust particles, hot ions, hot electrons, and stationary neutrals in the presence of an external static magnetic field, Ali et al. [Phys. Plasmas 24, 094701 (2017)] have commented that there exists a different form of Eq. (4) from that shown in Zhen et al. [Phys. Plasmas 23, 052301 (2016)] and that certain interesting phenomena with the dust neutral collision frequency ν0>0 are ignored in Zhen et al. [Phys. Plasmas 23, 052301 (2016)]. In this Reply, according to the transformation given by the Ali et al. [Phys. Plasmas 24, 094701 (2017)] comment, we present some one-, two-, and N-soliton solutions which have not been obtained in the Ali et al. [Phys. Plasmas 24, 094701 (2017)] comment. We point out that our previous solutions in Zhen et al. [Phys. Plasmas 23, 052301 (2016)] are still valid because of the similarity between the two dispersion relations of previous solutions in Zhen et al. [Phys. Plasmas 23, 052301 (2016)] and the solutions presented in this Reply. Based on our soliton solutions in this Reply, it is found that the soliton amplitude is inversely related to Zd and B0, but positively related to md and α, where α refers to the coefficient of the nonlinear term, Zd and md are the charge number and mass of a dust particle, respectively, B0 represents the strength of the external static magnetic field. We also find that the two solitons are always in parallel during the propagation.

MHD stability of JT-60SA operation scenarios driven by passing energetic particles for a hot Maxwellian model

“…Also, the n = 1 mode shows a transition between different instabilities if β f = 0.01, where the instability eigen-function changes: the eigen-function width increases, located between the magnetic axis and r/a = 0.23 where the q = 1 rational surface resonates in the inner plasma. The transition between n = 1 CGDM to fish-bone like n = 1 EPM is similar to the transition observed in DIII-D plasma with respect to the safety factor value at the magnetic axis [84].…”