Abstract
By considering the vortex-like ion distribution,we know that the nonlinear dust acoustic wave can be described by themodified Korteweg-de Vries equation.If there are high-order transverse perturbations in this system,the governing equation for this systemis the modified Kadomtsev-Petviashvili equation.We also find that for this system under the transverse perturbationthe one-dimensional solitary wave solution is stable.
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