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Published online by Cambridge University Press: 06 January 2012
For vortex-like ion distribution dusty plasmas, the modified KP equation is obtained by using the traditional perturbation method. The growth rate of a solitary wave solution for a higher order disturbance propagating in an arbitrary direction is obtained. We find that the solitary wave is stable under higher order disturbance in this system. However, the growth rate is different with different propagating direction.