Dust acoustic solitary waves in a dusty plasma with variable dust charge and an arbitrary streaming ion beam

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Conditions for the existence of dust acoustic solitary waves have been investigated on the nonlinear, unmagnetized homogeneous dusty plasma with variable dust charge and an arbitrary streaming ion beam. The Sagdeev’s pseudopotential has been derived in terms of ud, the dust fluid flow velocity. It is found that there exists a critical value of \(u_{d_{0}} \)(≠0), the value of ud at which (ud′)2 = 0, beyond which the solitary waves cease to exist. This critical value of ud depends on other parameters like dust temperature, etc.