## 4 Citations

### Stable three-dimensional Langmuir vortex soliton

- Physics
- 2020

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…

### Axially and spherically symmetric solitons in warm plasma

- PhysicsJournal of Plasma Physics
- 2011

Abstract We study the existence of stable axially and spherically symmetric plasma structures on the basis of the new nonlinear Schrödinger equation (NLSE) accounting for non-local electron…

### Stable Langmuir solitons in plasma with diatomic ions

- Physics
- 2013

Abstract. 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…

### Pairing of charged particles in a quantum plasmoid

- Physics
- 2013

We study a quantum spherically symmetric object which is based on radial plasma oscillations. Such a plasmoid is supposed to exist in a dense plasma containing electrons, ions and neutral particles.…

## References

SHOWING 1-10 OF 29 REFERENCES

### Two-dimensional solitons and vortices in normal and anomalous dispersive media.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

The generalized virial relation is derived, which describes the combined influence of linear and nonlinear effects on the evolution of the wave packet envelope and predicts the main features of steady soliton solutions, which have been shown to be in good agreement with the numerical results.

### Stabilization of soliton instabilities by higher-order dispersion: Fourth-order nonlinear Schrödinger-type equations.

- MathematicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1996

Stability of the soliton solutions to the fourth-order nonlinear Schr\"odinger equations with arbitrary power nonlinearities in different space dimensions is studied. Necessary and sufficient…

### Collapse arrest and soliton stabilization in nonlocal nonlinear media.

- Physics, MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

It is proved rigorously by bounding the Hamiltonian that nonlocality of the nonlinearity prevents collapse in, e.g., Bose-Einstein condensates and optical Kerr media in all physical dimensions.

### Upper‐hybrid solitons and oscillating‐two‐stream instabilities

- Physics
- 1976

A warm two‐fluid theory of soliton formation near the upper‐hybrid frequency is developed. Several forms of the nonlinear Schrodinger equation are obtained, depending on whether the electric field is…

### Development of two‐dimensional structure in cavitons

- Physics
- 1982

Experimental observations of the time and space evolution of resonantly enhanced electric fields and plasma density in cylindrical geometry demonstrate the development of caviton structure in the…

### Dynamics of quasicollapse in nonlinear Schrodinger systems with nonlocal interactions

- Physics, MathematicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

Evidence is presented in support of the hypothesis that nonlocal attractively interacting condensates cannot collapse under very general forms of the interaction, and there appear oscillations of the wave packet with a localized component whose size is of the order of the range of interactions.

### Optical solitons and quasisolitons

- Physics, Mathematics
- 1998

Optical solitons and quasisolitons are investigated in reference to Cherenkov radiation. It is shown that both solitons and quasisolitons can exist, if the linear operator specifying their asymptotic…

### Three-dimensional self-collapse of Langmuir waves

- Physics
- 1984

Experimental observation of Langmuir-wave collapse in three dimensions is presented with regard to collapse rate and threshold. Collapse proceeds under its own trapped field even after the decoupling…