Wave properties of damped solitons in a collisional unmagnetized four-component dusty fluid plasma system containing nonthermal distributed electrons, mobile ions and negative-positive dusty grains have been examined. To study dissipative DIA mode properties, a reductive perturbation analysis is used under convenient geometrical coordinate transformation, a three dimensionally damped Kadomtsev–Petviashvili equation 3D-CDKP in cylindrical coordinates is obtained. The effects of electron nonthermality and collisional parameters on damped soliton pulse structures are studied. More specifically, the coordinate impact of axial, radial and polar with the time on solitary propagation are examined. This investigation may be viable in plasmas of the Earth’s mesosphere.

Wave properties of damped solitons in a collisional unmagnetized four-components dusty fluid plasma system contains superthermal distributed electrons, mobile ions, and negative-positive...

Nonlinear properties of dust−ion acoustic freak waves have been studied in homogeneous unmagnetized dusty plasmas consisting of ions, nonthermal fast electrons, and positive and negative dust grains. By using derivative expansion method under the assumption of strongly dispersive medium, the basic equations are reduced to nonlinear Schrödinger equation (NLSE). One of NLSE solutions in the unstable region is the rational one which is responsible for creation of the freak waves. The dependence of the freak wave profile on the dust grain charge, carrier wavenumber, and energetic nonthermal electron population is discussed.

The three-dimensional Burgers equation is used to count the effects of the spectral index parameter κ, the ion, the negative (positive) kinematics viscosity coefficients of negatively (positively)...

The propagation of weakly nonlinear pressure waves in a fluid-filled elastic tube has been investigated. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude. The effect of the final inner radius of the tube on the basic properties of the soliton wave was discussed. Moreover, the conditions of stability and the soliton existence via the potential and the corresponding phase portrait were computed. The applicability of the present investigation to flow problems in arteries is discussed.

Nonlinearity properties of obliquely wave propagation and instability in collisionless magnetized nonthermal dusty plasmas containing fluid of negative-positive grains are investigated. Zakharov-Kuznetsov equation is obtained and the three-dimensional wave instability is studied. The parameters such as polarity charge ratio, cyclotron frequency and fast nonthermal effectiveness of the instability properties and growth rate are theoretically studied. It is found that both positive and negative soliton profiles are formed depending on the fraction ratio of electron-ion nonthermality. Also, the growth rate was dependent nonlinearly on the direction cosines, the cyclotron frequency and the positive (negative) grain charge ratio, but independent of the fractional ratio of electron-ion nonthermality. Present discussion may be very significant regarding the observations of nonlinear phenomena in space.