The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

El-Shamy, E. F.; Tribeche, Mouloud; El-Taibany, W. F.

doi:10.2478/s11534-014-0504-5

Cited by 9 publications

(5 citation statements)

References 59 publications

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“…1, panels 1(b) and 1(d) represent the contour of the panels 1(a) and 1(c), while panels 1(a) and 1(c) show the colisional effects at θ = 30 • and θ = 45 • , respectively. These figures reveal the formation of new nonlinear wave structures in the colliding region, which is in good agreement with the finding of El-Shamy et al [54] Besides, the pronounced soliton structures are produced for small obliqueness.…”

Section: Resultssupporting

confidence: 92%

Oblique collisional effects of dust acoustic waves in unmagnetized dusty plasma

Talukder¹

2020

Chinese Phys. B

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Effects of oblique collisions of the dust acoustic (DA) waves in dusty plasma are studied by considering unmagnetized fully ionized plasma. The plasma consists of inertial warm negatively charged massive dusts, positively charged dusts, superthermal kappa distributed electrons, and isothermal ions. The extended Poincaré–Lighthill–Kuo (ePLK) method is employed for the drivation of two-sided Korteweg–de Vries (KdV) equations (KdVEs). The KdV soliton solutions are derived by using the hyperbolic secant method. The effects of superthermality index of electrons, temperature ratio of isothermal ion to electron, and the density ratio of isothermal ions to negatively charged massive dusts on nonlinear coefficients are investigated. The effects of oblique collision on amplitude, phase shift, and potential profile of right traveling solitons of DA waves are also studied. The study reveals that the new nonlinear wave structures are produced in the colliding region due to head-on collision of the two counter propagating DA waves. The nonlinearity is found to decrease with the increasing density ratio of ion to negative dust in the critical region. The phase shifts decrease (increase) with increasing the temperature ratio of ion to electron (κ e). The hump (compressive, κ e < κ ec) and dipshaped (rarefactive, κ e > κ ec) solitons are produced depending on the angle (θ) of oblique collision between the two waves.

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Section: Resultssupporting

confidence: 92%

Oblique collisional effects of dust acoustic waves in unmagnetized dusty plasma

Talukder¹

2020

Chinese Phys. B

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“…Where, P i (ξ, η, τ) = P 0 + òP 1 + ... and Q i (ξ, η, τ) = Q 0 + òQ 1 + .... are the unknown functions for the phase shift of solitions caused by the interaction of two solitons, which will be computed later from higher-order perturbation expansions. The initial phase shift positions of the solitons in ZX plane are P 0 (ξ, η, τ) = 0 and Q 0 (ξ, η, τ) = 0 [52]. The λ 1 (λ 2 ) denotes the phase velocities of solitons, which will be calculated later.…”

Section: Interaction Of Obliquely Propagating Relativistic Ia Solitonsmentioning

confidence: 99%

Ion acoustic solitons collision in spin-polarized relativistic quantum plasma

2023

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The dynamics of electrostatic ion acoustic solitons collision in relativistic magnetized spin-polarized plasma is studied using a Magnetized Relativistic Quantum Hydrodynamics model. The plasmas components are relativistic degenerate electron with spin-up ne"and spin-down ne# concentrations, and relativistic inertial classical ions. In two-dimensional plasma geometry, a homogeneous external magnetic ﬁeld is provided along the z-direction, i.e. B = B0zˆ. The extended Poincare Lighthill Kuo (PLK) approach is used to calculate the Kortewegde Vries equations for the left and right moving ion-acoustic solitons. Before and after collision, their trajectories and associated phase shifts are computed. Only negative polarity pulses of ion acoustic solitons are observed in our stated relativistic magnetized plasma. The eﬀect of the spin density polarization ratio κ on collision properties on the structure of solitons is being studied. The phase shifts of colliding solitons are shown to be considerably aﬀected by the spin density polarization ratio κ, obliqueness, and relativistic eﬀects, are also analyzed and given numerically. Our research is noteworthy in that it focuses on, the astrophysical systems such as white dwarf, neutron star and pulsar.

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“…Since Tsallis (1988) proposed the generalization of the Boltzmann–Gibbs–Shanon (BGS) entropy, by adopting a thermo-statistical theory in a way that it becomes non-additive, a great deal of attention has been paid to the Tsallis statistics (Silva, Plastino & Lima 1998; Tsallis 2001; Gell-Mann & Tsallis 2004; Martinenko & Shivamoggi 2004; Dubinova & Dubinov 2006; Tribeche, Djebarni & Amour 2010; El-Awady & Moslem 2011; Alinejad & Shahmansouri 2012; El-Taibany & Tribeche 2012; Shahmansouri & Tribeche 2012; Akhtar, El-Taibany & Mahmood 2013; Bains, Li & Tribeche 2013; Shahmansouri & Tribeche 2013; Shahmansouri & Alinejad 2013 a , b ; Ashraf et al. 2014; El-Shamy, Tribeche & El-Taibany 2014; Ourabah & Tribeche 2014; Rahman & Ali 2014; Akhtar et al. 2015; Behery, Selim & El-Taibany 2015; Ferdousi et al.…”

Section: Introductionmentioning

confidence: 99%

Breather structures in degenerate relativistic non-extensive plasma

2017

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We examine the excitation of breather structures in a degenerate relativistic plasma consisting of non-extensive electrons and cold ions. For this purpose, the multiple time scale perturbation technique is used to obtain a nonlinear Schrödinger equation (NLSE). We then consider different localized solutions regarding analytical breather solutions of the NLSE, and examine their properties in the frame of the present plasma system, i.e. a degenerate relativistic non-extensive plasma. The results of the present investigation may be useful for the understanding of the basic features of the nonlinear excitations that may occur in dense astrophysical plasmas.

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The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

Cited by 9 publications

References 59 publications

Oblique collisional effects of dust acoustic waves in unmagnetized dusty plasma

Oblique collisional effects of dust acoustic waves in unmagnetized dusty plasma

Ion acoustic solitons collision in spin-polarized relativistic quantum plasma

Breather structures in degenerate relativistic non-extensive plasma

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