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New analytical solutions of the Wick type stochastic mKdV equation

Zeid I. A. Al-Muhiameed


With the help of white noise functional approach and variable coefficient auxiliary equation method, a Wick type stochastic modified KdV (mKdV) equation is studied. We construct a group of more general formal exact solutions of triangle and hyperbolic functions via the approach and Hermite transformation for the stochastic mKdV equation in the white noise environment. As some special examples, some analytical solutions can degenerate into these solutions reported in open literatures.


Wick-type stochastic mKdV equation; triangle and hyperbolic white noise functional solutions; Hermite transform; variable coefficient auxiliary equation method.

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