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Exact solutions of stochastic fractional Korteweg de–Vries equation with conformable derivatives 被引量:2
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作者 Hossam A.Ghany Abd-Allah Hyder m zakarya 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第3期62-69,共8页
We deal with the Wick-type stochastic fractional Korteweg de–Vries(KdV) equation with conformable derivatives.With the aid of the Exp-function method, white noise theory, and Hermite transform, we produce a novel set... We deal with the Wick-type stochastic fractional Korteweg de–Vries(KdV) equation with conformable derivatives.With the aid of the Exp-function method, white noise theory, and Hermite transform, we produce a novel set of exact soliton and periodic wave solutions to the fractional KdV equation with conformable derivatives. With the help of inverse Hermite transform, we get stochastic soliton and periodic wave solutions of the Wick-type stochastic fractional KdV equation with conformable derivatives. Eventually, by an application example, we show how the stochastic solutions can be given as Brownian motion functional solutions. 展开更多
关键词 Korteweg de–Vries(KdV)equation conformable DERIVATIVE stochastic BROWNIAN motion Expfunction method
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