Dressed solitons and double layers of ion-acoustic waves in a dusty plasma having ultra-relativistic degenerate two-temperature electrons

Paul, Indrani; Chatterjee, A.

doi:10.1007/s12648-021-02059-4

Cited by 2 publications

(1 citation statement)

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“…They took the aid of Abel's theorem and the variation of parameter method to analyze such equations. In the last decade, a lot of researchers conducted several analytical investigations on the higher-order effect in changing the behavior of shock waves [32][33][34][35][36] and other nonlinear waves [37][38][39]. El-Labany et al [32], El-Monier et al [33], and Hossen et al [34] investigated DIA shock structures in dense plasmas.…”

Section: Introductionmentioning

confidence: 99%

The higher-order nonlinearity and parametric effects on dust-ion-acoustic shock waves

Salam¹,

Matkan²,

Ali³

et al. 2022

Phys. Scr.

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In the case of obliquely propagated small-amplitude shock waves, in this study, we investigate the impacts of higher order nonlinearity, dust concentrations, viscosity, trapping parameter, etc., on the shock wave structures. The considered magnetized plasma system consists of three components, such as inertial positive ions (mobile), trapped electrons, and immobile negatively charged dust particles. The modified Burger equation (MBE) as well as a linear inhomogeneous equation with dominating dissipative term (in which viscous effect is significant), are derived to observe the variations in shock wave profiles. From the theoretical investigation, we observe that the higher-order nonlinearity has pronouncing effect on the shock amplitude. Furthermore, the viscosity (dust concentration) increases the shock width (the phase speed). Several mathematical techniques, such as the reductive perturbation method, the Abel’s theorem, the method of variation of parameters have been used as the supportive tools.

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