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Selection of solitons coinciding the numerical solutions for uniquely solvable physical problems: A comparative study for the nonlinear stochastic Gross–Pitaevskii equation in dispersive media

Authors :
Muhammad Z. Baber
Aly R. Seadway
Nauman Ahmed
Muhammad S. Iqbal
Muhammad W. Yasin
Source :
International Journal of Modern Physics B.
Publication Year :
2022
Publisher :
World Scientific Pub Co Pte Ltd, 2022.

Abstract

In this study, the Gross–Pitaevskii equation perturbed with multiplicative time noise is under consideration numerically and analytically. The NLSE is a universal governing model that helps in evolution of complex fields that are used in dispersive media. For the numerical solution, we used the stochastic forward Euler (SFE) scheme. To find the exact solutions, we chose the techniques namely [Formula: see text]-model expansion. For the analysis of the proposed scheme, we checked the stability of the scheme with the help of Von-Neumann criteria and the consistency of the scheme with the mean of Ito’s sense. The exact solutions of the model are constructed successfully in the Jacobi elliptic function in the form of trigonometric and hyperbolic functions. Last, we compared the graphical behavior of the proposed scheme with some exact solutions by using the unique selection of initial and boundary conditions. The plots are constructed in the form of 3D, line, and contour representation by choosing the different values of parameters.

Details

ISSN :
17936578 and 02179792
Database :
OpenAIRE
Journal :
International Journal of Modern Physics B
Accession number :
edsair.doi.dedup.....44b4c5bee87873d6e2f3684ad12cdf75
Full Text :
https://doi.org/10.1142/s0217979223501919