White noise functional solutions for Wick-type stochastic fractional mixed KdV-mKdV equation using extended \((G^{'}/G)\)-expansion method (Q2064739)
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scientific article; zbMATH DE number 7452869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | White noise functional solutions for Wick-type stochastic fractional mixed KdV-mKdV equation using extended \((G^{'}/G)\)-expansion method |
scientific article; zbMATH DE number 7452869 |
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White noise functional solutions for Wick-type stochastic fractional mixed KdV-mKdV equation using extended \((G^{'}/G)\)-expansion method (English)
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6 January 2022
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Summary: 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.
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extended \((G^{'}/G)\)-expansion method
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Hermite transform
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