Abundant solutions of Wick-type stochastic fractional 2D KdV equations

作者：Ghany Hossam A^*; Hyder Abd Allah

来源：Chinese Physics B, 2014, 23(6): 060503.

DOI：10.1088/1674-1056/23/6/060503

• 2D KdV equations
• fractional calculus
• white noise
• Hermite transform

A modified fractional sub-equation method is applied to Wick-type stochastic fractional two-dimensional (2D) KdV equations. With the help of a Hermit transform, we obtain a new set of exact stochastic solutions to Wick-type stochastic fractional 2D KdV equations in the white noise space. These solutions include exponential decay wave solutions, soliton wave solutions, and periodic wave solutions. Two examples are explicitly given to illustrate our approach.

• 出版日期2014-6