Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
NEW SOLITARY WAVES OF STOCHASTIC (3+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS UNDER BROWNIAN MOTION. |
| Συγγραφείς: |
FARYAD, UROOSA1 (AUTHOR), FARYAD, AQSA2 (AUTHOR), ALDAYEL, IBRAHIM3 (AUTHOR), KHAN, MERAJ ALI3 (AUTHOR) mskhan@imamu.edu.sa, AKGÜL, ALI4 (AUTHOR) |
| Πηγή: |
Fractals. 2026, Vol. 34 Issue 6, p1-13. 13p. |
| Θεματικοί όροι: |
*Brownian motion, *Nonlinear evolution equations, *Riccati equation, *Scientific method, *Solitons, *Stochastic processes, *Fluid mechanics, *Plasma physics |
| Περίληψη: |
Analysis of nonlinear evolution equations (EEs) arising in soliton theory stems from their fundamental importance in physics and their many implications deepen our understanding of emergent phenomena and nonlinear dynamics. In this paper, we consider two (3 + 1) -dimensional nonlinear EEs that have applications in fluid and plasma physics. The main focus of the paper is to apply the modified tanh method (MTM) which is associated with Riccati equation, to the considered nonlinear EEs. Furthermore, the stochastic dynamics are investigated via adding white noise in terms of Weiner process in the both equations. The results are graphically studied in 3D and 2D, to show the deterministic and stochastic dynamics of different solitary waves. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
Academic Search Index |