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Exact Solutions for a Class of Wick-Type Stochastic (3+1)-Dimensional Modified Benjamin–Bona–Mahony Equations.
- Source :
-
Axioms (2075-1680) . Dec2019, Vol. 8 Issue 4, p134-134. 1p. - Publication Year :
- 2019
-
Abstract
- In this paper, we investigate the Wick-type stochastic (3+1)-dimensional modified Benjamin–Bona–Mahony (BBM) equations. We present a generalised version of the modified tanh–coth method. Using the generalised, modified tanh–coth method, white noise theory, and Hermite transform, we produce a new set of exact travelling wave solutions for the (3+1)-dimensional modified BBM equations. This set includes solutions of exponential, hyperbolic, and trigonometric types. With the help of inverse Hermite transform, we obtained stochastic travelling wave solutions for the Wick-type stochastic (3+1)-dimensional modified BBM equations. Eventually, by application example, we show how the stochastic solutions can be given as white noise functional solutions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *WHITE noise theory
*WHITE noise
*EQUATIONS
*STOCHASTIC analysis
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 8
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 140902957
- Full Text :
- https://doi.org/10.3390/axioms8040134