Completely localized solitons and their stabilities in magnetized dusty plasma of trapped ions

We numerically and theoretically investigated the completely localized solitons, obtained by the Petviashvili method, and their dynamical stabilities in a magnetized dusty plasma with trapped ions. The results suggest that its amplitudes are proportional to the square of its speed and inversely proportional to the square of the nonlinear interaction strength, which are also confirmed analytically. The dependence of the soliton amplitudes on various physical parameters is investigated systematically. Numerical results indicate that the localized solitons are always dynamically stable. When two localized solitons collide, their amplitudes and phase are nearly invariant. However, if a stable localized soliton collides with an unstable line soliton, the latter will evolve into a series of completely localized solitons. Published under an exclusive license by AIP Publishing.

Automated summary

This paper numerically and theoretically investigates the characteristics of completely localized solitons and their dynamical stabilities. The results show that the amplitude of the solitons is proportional to the square of its speed and inversely proportional to the square of the nonlinear interaction strength. The localized solitons are found to be always dynamically stable.