In this paper, we look at the (4 + 1)-dimensional stochastic Fokas equation (SFE) perturbed in the Itô sense by white noise. The tanh-coth method and mapping method are used to acquire new trigonometric, hyperbolic, elliptic, and rational stochastic solutions. Also, we extend some earlier studies. Because the SFEequation is essential for describing different phenomena in ocean engineering, fluid mechanics and optics, the solutions obtained are useful in interpreting certain fascinating physical phenomena. To demonstrate how the multiplicative white noise affects the exact solutions of the SFE, we plot our figures in MATLAB and show several 3D graphical representations. We demonstrate how the solutions of SFE are stabilized by multiplicative white noise.

The soliton solutions for the (4 + 1)-dimensional stochastic Fokas equation

Cesarano C
2023-01-01

Abstract

In this paper, we look at the (4 + 1)-dimensional stochastic Fokas equation (SFE) perturbed in the Itô sense by white noise. The tanh-coth method and mapping method are used to acquire new trigonometric, hyperbolic, elliptic, and rational stochastic solutions. Also, we extend some earlier studies. Because the SFEequation is essential for describing different phenomena in ocean engineering, fluid mechanics and optics, the solutions obtained are useful in interpreting certain fascinating physical phenomena. To demonstrate how the multiplicative white noise affects the exact solutions of the SFE, we plot our figures in MATLAB and show several 3D graphical representations. We demonstrate how the solutions of SFE are stabilized by multiplicative white noise.
2023
mapping method
stability by noise
stochastic Fokas
File in questo prodotto:
File Dimensione Formato  
MMAS.pdf

non disponibili

Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 5.75 MB
Formato Adobe PDF
5.75 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/1794
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
social impact