Name
Title | ||
|---|---|---|
Exact Solutions for a Class of Wick-Type Stochastic (3+1)-Dimensional Modified Benjamin-Bona-Mahony Equations. |
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. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.3390/axioms8040134 | AXIOMS |
Keywords | DocType | Volume |
modified BBM equations,(3+1)-dimensional equations,white noise,Brownian motion,travelling wave solutions,wick-type stochastic | Journal | 8 |
Issue | Citations | PageRank |
4 | 0 | 0.34 |
References | Authors | |
0 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Praveen Agarwal | 1 | 0 | 5.41 |
| Abd-Allah Hyder | 2 | 0 | 1.35 |
| M. Zakarya | 3 | 0 | 0.34 |
| Ghada AlNemer | 4 | 0 | 1.69 |
| Clemente Cesarano | 5 | 0 | 1.35 |
| Dario Assante | 6 | 0 | 0.34 |