Effect of ion viscosity on dust ion-acoustic shock waves in a nonextensive magnetoplasma

El-Tantawy, S. A.

doi:10.1007/s10509-016-2831-z

Cited by 28 publications

(19 citation statements)

References 51 publications

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“…Since the coefficient of dissipative viscosity (μ) is generated by the nonadiabaticity (ν) of the dust charge variation, we examine the dynamics of the DAWs by varying parameters q and ν. Recently, superextensive range 1/3 < q < 1 for the nonextensive parameter q was reported in some works [65]- [67]. Hereby, we proceed our analyses with the acceptable ranges 1/3 < q < 1 for superextensive and q > 1 for subextensive of nonextensive parameter q.…”

Section: Stability Analysis Of Dawsmentioning

confidence: 84%

Stable Oscillation and Chaotic Motion of the Dust-Acoustic Waves for the KdV–Burgers Equation in a Four-Component Dusty Plasma

Tamang

Pradhan

Saha

2020

IEEE Trans. Plasma Sci.

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Investigation of nonlinear dust-acoustic waves (DAWs) in a four-component unmagnetized electron-ion dusty plasma composed of fluid dust species, the Maxwellian positive, and negative ions with q-nonextensive electrons is performed. The dust charge variation is considered for both adiabatic and nonadiabatic cases. For the nonadiabatic case, the Korteweg-de Vries-Burgers (KdV-B) equation is obtained utilizing the reductive perturbation technique (RPT). Implementing the traveling wave transfiguration, the KdV-B equation is transformed into a planar dynamical system (PDS). Implementing the phase plane theory of PDS, qualitative phase portrait profiles of a stable spiral for the corresponding system are presented. The effects of relevant physical parameters are shown on the DAW behavior. Dynamical features, such as quasiperiodic and chaotic motions of the system, are presented via a numerical investigation in the presence of an extraneous periodic force. Sensitivity analysis and the box-counting dimensions for chaotic profiles are presented.

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Section: Stability Analysis Of Dawsmentioning

confidence: 84%

Stable Oscillation and Chaotic Motion of the Dust-Acoustic Waves for the KdV–Burgers Equation in a Four-Component Dusty Plasma

Tamang

Pradhan

Saha

2020

IEEE Trans. Plasma Sci.

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“…The ions with negative charge causes the electrostatic disturbances traveling in the atmosphere. The parameter q in superextensive case is restricted to 1/3 < q < 1 [61]- [63]. Therefore, we consider the acceptable ranges 1/3 < q < 1 and q > 1, and other plasma parameters from the data values of Titan's atmosphere [21], [55].…”

Section: Dynamical Systemmentioning

confidence: 99%

Dynamical Properties of Ion-Acoustic Waves in Space Plasma and Its Application to Image Encryption

et al. 2021

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The nonlinear ion-acoustic waves (IAWs) in a space plasma are capable of exhibiting chaotic dynamics which can be applied to cryptography. Dynamical properties of IAWs are examined using the direct method in plasmas composed of positive and negative ions and nonextensive distributed electrons. Applying the wave transformation, the governing equations are deduced into a dynamical system (DS). Supernonlinear and nonlinear periodic IAWs are presented through phase plane analysis. The analytical periodic wave solution for IAW is obtained. Under the influence of an external periodic force, the DS is transformed to a perturbed system. The perturbed DS describes multistability property of IAWs with change of initial conditions. The multistability behavior features coexisting trajectories such as, quasiperiodic, multiperiodic and chaotic trajectories of the perturbed DS. The chaotic feature in the perturbed DS is supported by Lyapunov exponents. This interesting behavior in the windows of chaotic dynamics is exploited to design efficient encryption algorithm. First SHA-512 is used to compute the hash digest of the plain image which is then used to update the initial seed of the chaotic IAWs system. Note that SHA-512 uses one-way function to map input data to the output, consequently it is quite impossible to break the proposed encryption technique. Second DNA coding is used to confuse and diffuse the DNA version of the plain image. The diffused image follows DNA decoding process leading to the cipher image. The security performance is evaluated using some well-known metrics and results indicate that the proposed cryptosystem can resist most of existing cryptanalysis techniques. In addition complexity analysis shows the possibility of practical implementation of the proposed algorithm.

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“…So in dissipative system, reductive perturbation technique leads to the formation of ZK-Burgers equation, featuring an extra dissipation term. According to this technique, the stretching coordinates can be chosen as [15,16] …”

Section: Derivation Of Zkb Equationmentioning

confidence: 99%

“…They derived ZK-Burgers equation and examined the dependence of ion acoustic solitary and shock waves on different plasma parameters. Recently, Tantawy [16] examined the features of dust ion-acoustic shock waves in magnetized plasma, containing nonextensive electrons, positive ions and dust particles. They derived the ZKB equation and determined its solution to see the effect of different plasma parameters on dust-ion-acoustic solitary waves.…”

Section: Introductionmentioning

confidence: 99%

Dust ion-acoustic shock waves in magnetized pair-ion plasma with kappa distributed electrons

Kaur

Singh

Saini

2018

AIP Conference Proceedings

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Effect of ion viscosity on dust ion-acoustic shock waves in a nonextensive magnetoplasma

Cited by 28 publications

References 51 publications

Stable Oscillation and Chaotic Motion of the Dust-Acoustic Waves for the KdV–Burgers Equation in a Four-Component Dusty Plasma

Stable Oscillation and Chaotic Motion of the Dust-Acoustic Waves for the KdV–Burgers Equation in a Four-Component Dusty Plasma

Dynamical Properties of Ion-Acoustic Waves in Space Plasma and Its Application to Image Encryption

Dust ion-acoustic shock waves in magnetized pair-ion plasma with kappa distributed electrons

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