Quasi-Particle Theory of Alfven Soliton Interaction in Plasmas

Yan, Xiaona; Biswas, Anjan

doi:10.1007/s10773-006-9275-0

Cited by 3 publications

(1 citation statement)

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“…The superposition of one-soliton solutions can be used as an asymptotic form of a two-soliton solution. 44 Notice that if the obliquely propagating waves are discussed, one-parameter soliton solutions also exist. 20,45 The numerical scheme to solve Eq.…”

Section: B Alfv En Solitonmentioning

confidence: 99%

On nonlinear evolution of low-frequency Alfvén waves in weakly-expanding solar wind plasmas

Nariyuki

2015

Physics of Plasmas

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A multi-dimensional nonlinear evolution equation for Alfv en waves in weakly-expanding solar wind plasmas is derived by using the reductive perturbation method. The expansion of solar wind plasma parcels is modeled by an expanding box model, which includes the accelerating expansion. It is shown that the resultant equation agrees with the Wentzel-Kramers-Brillouin prediction of the low-frequency Alfv en waves in the linear limit. In the cold and one-dimensional limit, a modified derivative nonlinear Schrodinger equation is obtained. Direct numerical simulations are carried out to discuss the effect of the expansion on the modulational instability of monochromatic Alfv en waves and the propagation of Alfv en solitons. By using the instantaneous frequency, it is quantitatively shown that as far as the expansion rate is much smaller than wave frequencies, effects of the expansion are almost adiabatic. It is also confirmed that while shapes of Alfv en solitons temporally change due to the expansion, some of them can stably propagate after their collision in weaklyexpanding plasmas. V C 2015 AIP Publishing LLC. [http://dx.

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Section: B Alfv En Solitonmentioning

confidence: 99%