Exact solutions of stochastic fractional Korteweg de-Vries equation with conformable derivatives

• 来源期刊: 中国物理B（英文版）
• 关键词: Korteweg de-Vries (KdV) equation conformable derivative stochastic Brownian motion Exp-function method
• 年，卷（期）: 2020,（3）
• 页码范围: 69-77
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab75c9

摘要

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.