White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended
G
′
/
G
-Expansion Method
Keyword(s):
In this paper, white noise functional solutions of Wick-type stochastic fractional mixed KdV-mKdV equations have been obtained by using the extended G ′ / G -expansion method and the Hermite transform. Firstly, the Hermite transform is used to transform Wick-type stochastic fractional mixed KdV-mKdV equations into deterministic fractional mixed KdV-mKdV equations. Secondly, the exact traveling wave solutions of deterministic fractional mixed KdV-mKdV equations are constructed by applying the extended G ′ / G -expansion method. Finally, a series of white noise functional solutions are obtained by the inverse Hermite transform.
2018 ◽
Vol 8
(1)
◽
pp. 11-24
Keyword(s):
2014 ◽
Vol 2014
(1)
◽
pp. 261
◽
Keyword(s):
2014 ◽
Vol 22
(3)
◽
pp. 402-406
◽
Keyword(s):
2014 ◽
Vol 4
(10)
◽
pp. 1318-1334
◽
2014 ◽
Vol 2
(2)
◽
pp. 32-37
2012 ◽
Vol 57
(2)
◽
pp. 173-178
◽