Stable spatial Langmuir solitons

Davydova, T. A.; Yakimenko, A. I.; Zaliznyak, Yu.

doi:10.1016/j.physleta.2004.11.063

Cited by 5 publications

(27 citation statements)

References 19 publications

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“…Therefore our results are in agreement with Ref. [11] where NLSE with a nonlocal term was analyzed. One should also notice that the numerical curve in Fig.…”

Section: Numerical Simulationsupporting

confidence: 93%

“…(2.23) is analogous to NLSE equation derived in Ref. [11]. It also contains ψ∆ x |ψ| 2 term, although the coefficient is different.…”

Section: )mentioning

confidence: 91%

“…The nonlinear terms studied in Refs [7,8] are local since their contributions to NLSE contain only a certain power of the electric field amplitude. The non-local terms in NLSE, derived in Refs [10,11], are also important when, e.g. a wave packet is very steep.…”

Section: Introductionmentioning

confidence: 99%

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Axially and spherically symmetric solitons in warm plasma

Dvornikov¹

2011

J. Plasma Phys.

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We study the existence of stable axially and spherically symmetric plasma structures on the basis of the new nonlinear Schrödinger equation (NLSE) accounting for nonlocal electron nonlinearities. The numerical solutions of NLSE having the form of spatial solitions are obtained and their stability is analyzed. We discuss the possible application of the obtained results to the theoretical description of natural plasmoids in the atmosphere.

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“…Therefore our results are in agreement with Ref. [11] where NLSE with a nonlocal term was analyzed. One should also notice that the numerical curve in Fig.…”

Section: Numerical Simulationsupporting

confidence: 93%

“…(2.23) is analogous to NLSE equation derived in Ref. [11]. It also contains ψ∆ x |ψ| 2 term, although the coefficient is different.…”

Section: )mentioning

confidence: 91%

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Axially and spherically symmetric solitons in warm plasma

Dvornikov¹

2011

J. Plasma Phys.

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“…Under this, evolution of Langmuir wave packets shows slow dynamics with a characteristic time scale t ≫ ω −1 pi (subsonic regime), where ω pi is the ion Langmuir frequency. From the theoretical point of view, the wave collapse may be prevented by including some extra effects such as higher order nonlinearities, electron nonlinearities [20][21][22], saturating nonlinearity [23], nonlocal nonlinearity [6] etc.. Then, the arrest of collapse can result in the formation of stationary structures which turn out to be (quasi)stable in some regions of parameters. We consider the case of saturating nonlinearity when the characteristic times of the nonlinear processes to exceed significantly the time of an ion passing through the cavity, and then both electrons in slow motions and ions can be considered to have a Boltzmann distribution [10,24] δn…”

Section: Model Equationmentioning

confidence: 99%

Stable three-dimensional Langmuir vortex soliton

Lashkin

2020

Physics of Plasmas

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We present a numerical solution in the form of a three-dimensional (3D) vortex soliton in unmagnetized plasma in the model of the generalized Zakharov equations with saturating exponential nonlinearity. To find the solution with a high accuracy we use two-step numerical method combining the Petviashvili iteration procedure and the Newton-Kantorovich method. The vortex soliton with the topological charge m = 1 turns out to be stable provided the nonlinear frequency shift exceeds a certain critical value. The stability predictions are verified by direct simulations of the full dynamical equation.

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“…For example, spatial plasma solitons, described in frames of the classical electrodynamics, can exist due to the combined action of electron-ion and electron-electron nonlinear interactions. The former one was found to be focusing (Zakharov, 1972), whereas the latter interaction can be defocusing (Kuznetsov, 1976;Skorić and ter Haar, 1980;Davydova et al, 2005). Recently Haas and Shukla (2009) suggested that, if one accounts for the additional quantum pressure of electron gas, it may explain the appearance of two and three dimensional Langmuir solitons in dense plasmas.…”

Section: Introductionmentioning

confidence: 99%

Stable Langmuir solitons in plasma with diatomic ions

Dvornikov

2013

Nonlin. Processes Geophys.

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We study stable axially and spherically symmetric spatial solitons in plasma with diatomic ions. The stability of a soliton against collapse is provided by the interaction of induced electric dipole moments of ions with the rapidly oscillating electric field of a plasmoid. We derive the new cubic-quintic nonlinear Schrödinger equation, which governs the soliton dynamics and numerically solve it. Then we discuss the possibility of implementation of such plasmoids in realistic atmospheric plasma. In particular, we suggest that spherically symmetric Langmuir solitons, described in the present work, can be excited at the formation stage of long-lived atmospheric plasma structures. The implication of our model for the interpretation of the results of experiments for the plasmoids generation is discussed

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Stable spatial Langmuir solitons

Cited by 5 publications

References 19 publications

Axially and spherically symmetric solitons in warm plasma

Axially and spherically symmetric solitons in warm plasma

Stable three-dimensional Langmuir vortex soliton

Stable Langmuir solitons in plasma with diatomic ions

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