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New analytic solutions of stochastic coupled KdV equations. (English) Zbl 1198.35292
Summary: Firstly, we use the exp-function method to seek new exact solutions of the Riccati equation. Then, with the help of Hermit transformation, we employ the Riccati equation and its new exact solutions to find new analytic solutions of the stochastic coupled KdV equation in the white noise environment. As some special examples, some analytic solutions can degenerate into these solutions reported in open literatures. Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

35R60PDEs with randomness, stochastic PDE
35Q53KdV-like (Korteweg-de Vries) equations
Full Text: DOI
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