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Three types of exact solutions to Wick-type generalized stochastic Korteweg-de Vries equation |
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| Authors: | Qing Liu Dong-Li Jia |
| Institution: | a School of Communication and Information Engineering, Shanghai University, Shanghai 200072, PR China b College of Mathematics and Physics, Lishui University, Lishui, Zhejiang 323000, PR China c School of Information and Electronic Engineering, Hebei University of Engineering, Handan 056002, PR China |
| Abstract: | A Wick-type generalized stochastic Korteweg-de Vries equation is researched. By means of Hermite transformation, white noise theory and Riccati equation mapping method, three types of exact solutions to the generalized stochastic Korteweg-de Vries equation, which include the functional solutions of hyperbolic-exponential type, trigonometric-exponential type and exponential type, are derived. |
| Keywords: | Exact solution Wick-type stochastic equation Generalized stochastic Korteweg-de Vries equation White noise Riccati equation mapping method |
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