Ion-acoustic nonlinear periodic waves in a two-electron-temperature plasma

Yadav, Lakhan Lal; Tiwari, R. S.; Maheshwari, K. P.; Sharma, Shruti

doi:10.1103/physreve.52.3045

Cited by 43 publications

(26 citation statements)

References 29 publications

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“…Deriving KdV and mKdV equations, Yadav et al 21 have studied nonlinear ion acoustic periodic wave in two electron temperature plasma. It was found that frequencies of mKdV cnoidal and snoidal waves have different amplitude dependence than that of the KdV equation governing cnoidal waves.…”

Section: Introductionmentioning

confidence: 99%

Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma

2012

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Using reductive perturbation method with appropriate boundary conditions, coupled evolution equations for first and second order potentials are derived for ion-acoustic waves in a collisionless, un-magnetized plasma consisting of hot isothermal electrons, cold ions, and massive mobile charged dust grains. The boundary conditions give rise to renormalization term, which enable us to eliminate secular contribution in higher order terms. Determining the non secular solution of these coupled equations, expressions for wave phase velocity and averaged non-linear ion flux associated with ion-acoustic cnoidal wave are obtained. Variation of the wave phase velocity and averaged non-linear ion flux as a function of modulus (k2) dependent wave amplitude are numerically examined for different values of dust concentration, charge on dust grains, and mass ratio of dust grains with plasma ions. It is found that for a given amplitude, the presence of positively (negatively) charged dust grains in plasma decreases (increases) the wave phase velocity. This behavior is more pronounced with increase in dust concentrations or increase in charge on dust grains or decrease in mass ratio of dust grains. The averaged non-linear ion flux associated with wave is positive (negative) for negatively (positively) charged dust grains in the plasma and increases (decreases) with modulus (k2) dependent wave amplitude. For given amplitude, it increases (decreases) as dust concentration or charge of negatively (positively) charged dust grains increases in the plasma.

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Section: Introductionmentioning

confidence: 99%

Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma

2012

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“…In that case, the stretching defined in Equation does not remain valid; one has to use higher‐order stretching for independent variables, which gives a modified KdV (or mKdV) equation instead of the KdV equation. The mKdV equation can have cnoidal wave and soliton solutions in terms of cn and sec h , respectively, which is beyond the scope of the present work. The mKdV equation has single soliton as well as multisoliton solution, under the vanishing boundary conditions of Φ at infinity and the characteristics of mKdV solitons are different from KdV solitons.…”

Section: Derivation Of the Kdv Equationmentioning

confidence: 96%

“…Stasiewicz found the wave solution in the form of train of solitons for nonlinear electrons' and ions' inertial waves in an anisotropic plasma. The ion‐acoustic nonlinear periodic waves in electron–positron–ion (EPI) plasma , two electrons' plasma, and PI plasma have also been investigated. According to our knowledge, the nonlinear periodic waves in multi‐ion plasmas have not been studied yet.…”

Section: Introductionmentioning

confidence: 99%

Electrostatic cnoidal waves and soliton structures in multi‐ions plasmas

Ur‐Rehman

Mahmood

2018

Contributions to Plasma Physics

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Using a reductive perturbation technique (RPT), the Korteweg-de Vries (KdV) equation for nonlinear electrostatic waves in multi-ion plasmas is derived with appropriate boundary conditions. Furthermore, compressive and rarefactive cnoidal wave and soliton solutions are discussed. In our model, the multi-ion plasma consists of light dynamic warm ions, heavy cold ions, and inertialess electrons, which follows the Maxwell-Boltzmann distribution. It is observed that in such an unmagnetized multi-ion plasma, two characteristic electrostatic waves i.e., slow ion-acoustic (SIA) waves and fast ion-acoustic (FIA) waves, can propagate. The results are discussed by considering two types of multi-ion plasmas i.e., H + -O + -e plasma and H − -O + -e plasma that exist in space plasmas. It is found that for H + -O + -e plasma, the SIA cnoidal wave and soliton form both positive (compressive) and negative (rarefactive) potential pulses, which depend on the temperature and density of the light and warm ions. However, only electrostatic positive potential structures are obtained for FIA cnoidal wave and soliton in H + -O + -e plasma. In the case of H − -O + -e plasma, the SIA cnoidal wave and soliton form only compressive structures, while the FIA cnoidal wave and soliton compose rarefactive structures. The effects of light ions' density and temperature on nonlinear potential structures are investigated in detail.The parametric results are also demonstrated, which are applicable to space and laboratory multi-ion plasma situations.

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“…They used the kinetic and fluid models for both the ion species. Yadav et al [10] have studied the nonlinear ion-acoustic periodic waves in two-electron temperature plasmas. Solitary waves and weak double layers in a two-electron temperature auroral plasma have been studied by Berthomier et al [11] and applied their results to Viking satellite observations.…”

Section: Introductionmentioning

confidence: 99%