Dust-acoustic shock waves in a strongly coupled dusty plasma with two-temperature nonthermal ions and transverse perturbations

In this paper, the nonlinear propagation of the dust-acoustic waves in a strongly coupled dusty plasma with two-temperature nonthermal ions and transverse perturbations is governed by a cylindrical Kadomtsev–Petviashvili–Burgers (KP–Burgers) equation. With the help of the variable-coefficient generalized projected Ricatti equation expansion method, the cylindrical KP–Burgers equation is solved and a shock wave solution is obtained. The effects on the amplitude of the shock wave caused by some important parameters such as ion nonthermal parameter a and temperature parameters β1, β, etc are shown. The effects caused by dissipation and transverse perturbations are also discussed. It also indicates that the dust density hole can form and enlarge as time goes on.

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