Dressed Langmuir solitons

Deeskow, P.; Schamel, H.; Rao, N. N.; Yu, M. Y.; Varma, Ram K.; Shukła, P. K.

doi:10.1063/1.866035

Cited by 27 publications

(20 citation statements)

References 18 publications

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“…In fact, similar quasisoliton solutions, looking like embedded solitons, were obtained, by different approaches, for other highly dispersive systems as well [15][16][17]9,11,12,[17][18][19][20]. Now consider the embedded solitons, starting from Galilean transformation (5).…”

Section: Embedded Solitonsmentioning

confidence: 99%

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Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation

2001

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The dynamics of soliton and quasisoliton solutions of cubic third order nonlinear Schrödinger equation is studied. The regular solitons exist due to a balance between the nonlinear terms and (linear) third order dispersion; they are not important at small α3( α3 is the coefficient in the third derivative term) and vanish at α3 → 0. The most essential, at small α3, is a quasisoliton emitting resonant radiation (resonantly radiating soliton). Its relationship with the other (steady) quasisoliton, called embedded soliton, is studied analytically and in numerical experiments. It is demonstrated that the resonantly radiating solitons emerge in the course of nonlinear evolution, which shows their physical significance.

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Section: Embedded Solitonsmentioning

confidence: 99%

“…As we have already mentioned, the ES consists of a steady soliton-like pulse on the plane wave background. This structure is rater common in different nonlinear highly dispersive systems [9][10][11][12][13][14][15][16][17][18][19][20]. At α 3 → 0 , the plane wave disappears and the pulse turns into a regular soliton of Eq.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation

2001

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“…3 is associated with a negative φ (similar to Ref. [16]), while the bare solitons in Figs. 1 and 2 are associated with positive potentials.…”

Section: Admit a First Integral In The Formmentioning

confidence: 79%

“…Finite amplitude Langmuir solitons in an electron-ion plasma were studied theoretically [15]. Furthermore, Deeskow et al [16] considered the amplitude modulation of finite amplitude Langmuir waves by the NLIOs, and reported the existence of dressed Langmuir envelope solitons in an unmagnetized electron-ion plasma excluding quantum effects. Very recently, Garcia et al [4] and Haas [5] accounted for the quantum statistical pressure law and the quantum Bohm potential and presented the quantum Zakharov equations [17].…”

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confidence: 99%

Localized plasmons in quantum plasmas

Shukła

Eliasson

2008

Physics Letters A

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“…In plasmas, such envelope solitons are wellknown Langmuir solitons that are hf Langmuir waves (LWs) trapped by the density troughs associated with lf IAWs (see e.g., Refs. [1][2][3][4][5][6]). …”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal chaos and the dynamics of coupled Langmuir and ion-acoustic waves in plasmas

Banerjee

Misra²,

Shukła³

et al. 2010

Phys. Rev. E

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A simulation study is performed to investigate the dynamics of coupled Langmuir waves (LWs) and ion-acoustic waves (IAWs) in an unmagnetized plasma. The effects of dispersion due to charge separation and the density nonlinearity associated with the IAWs, are considered to modify the properties of Langmuir solitons, as well as to model the dynamics of relatively large amplitude wave envelopes. It is found that the Langmuir wave electric field, indeed, increases by the effect of ion-wave nonlinearity (IWN). Use of a low-dimensional model, based on three Fourier modes shows that a transition to temporal chaos is possible, when the length scale of the linearly excited modes is larger than that of the most unstable ones. The chaotic behaviors of the unstable modes are identified by the analysis of Lyapunov exponent spectra. The space-time evolution of the coupled LWs and IAWs shows that the IWN can cause the excitation of many unstable harmonic modes, and can lead to strong IAW emission. This occurs when the initial wave field is relatively large or the length scale of IAWs is larger than the soliton characteristic size. Numerical simulation also reveals that many solitary patterns can be excited and generated through the modulational instability (MI) of unstable harmonic modes. As time goes on, these solitons are seen to appear in the spatially partial coherence (SPC) state due to the free ion-acoustic radiation as well as in the state of spatiotemporal chaos (STC) due to collision and fusion in the stochastic motion. The latter results the redistribution of initial wave energy into a few modes with small length scales, which may lead to the onset of Langmuir turbulence in laboratory as well as space plasmas.

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Dressed Langmuir solitons

Abstract: The existence of a two-parameter set of dressed Langmuir solitons is shown numerically, resolving a discrepancy among earlier investigations.

Cited by 27 publications

References 18 publications

Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation

Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation

Localized plasmons in quantum plasmas

Spatiotemporal chaos and the dynamics of coupled Langmuir and ion-acoustic waves in plasmas

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