Modulations of Collapsing Stochastic Modified NLSE Structures

• Published in: Mathematics (Basel) Vol. 11; no. 20; p. 4330
• Main Authors: Abdelrahman, Mahmoud A. E., El-Shewy, Emad K., Omar, Y., Abdo, N. F.
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-10-2023
• Subjects: Exact solutions; Investigations; new solver method; nonlinear stochastic behaviour; Partial differential equations; Physics; Random variables; Random waves; Schrodinger equation; stochastic collapsing wave; Stochastic models; Water currents; Water waves
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math11204330

The exact solutions of the nonlinear Schrödinger equation (NLSE) predict consistent novel applicable existences such as solitonic localized structures, rouge forms, and shocks that rely on physical phenomena to propagate. Theoretical explanations of randomly nonlinear new extension NLSE structure solutions have undergone stochastic mode examination. This equation enables accurate and efficient solutions capable of simulating developed solitonic structures with dynamic features. The generated random waves are a dynamically regulated system that are influenced by random water currents behaviour. It has been noticed that the stochastic parameter modulates the wave force and supplies the wave collapsing energy with related medium turbulence. It has been observed that noise effects can alter wave characteristics, which may lead to innovative astrophysics, physical density, and ocean waves.