Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity-Reference-Cited by-同舟云学术

Investigating stochastic solutions for fourth order dispersive NLSE with quantic nonlinearity

Published:2023 Issue:7 Volume:8 Page:15201-15213
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alhojilan Yazid¹,Samir Islam²

Affiliation:

1. Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia

2. Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt

Abstract

<abstract><p>In this paper, the stochastic fourth order nonlinear Schrödinger equation with quantic nonlinearity and affected by multiplicative noise is considered. This model is used to mimic the wave propagation through optical fibers. The improved modified extended tanh method is used to extract optical solutions for the investigated model. Various types of stochastic solutions are provided such as bright soliton, dark soliton, singular soliton, singular periodic solution and Weierstrass elliptic solution. Moreover, Matlab software packages are used to introduce the effect of the multiplicative noise on the raised solutions. The noise intensity is varied to show the robust of the extracted solutions against the noise.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference34 articles.

1. I. Samir, N. Badra, H. M. Ahmed, A. H. Arnous, A. S. Ghanem, Solitary wave solutions and other solutions for Gilson-Pickering equation by using the modified extended mapping method, Results Phys., 36 (2022), 105427. https://doi.org/10.1016/j.rinp.2022.105427

2. I. Samir, N. Badra, A. R. Seadawy, H. M. Ahmed, A. H. Arnous, Computational extracting solutions for the perturbed Gerdjikov-Ivanov equation by using improved modified extended analytical approach, J. Geom. Phys., 176 (2022), 104514. https://doi.org/10.1016/j.geomphys.2022.104514

3. A. R. Alharbi, Traveling-wave and numerical solutions to a Novikov-Veselov system via the modified mathematical methods, AIMS Math., 8 (2023), 1230–1250. https://doi.org/10.3934/math.2023062

4. M. Sharaf, E. El-Shewy, M. Zahran, Fractional anisotropic diffusion equation in cylindrical brush model, J. Taibah Univ. Sci., 14 (2020), 1416–1420. https://doi.org/10.1080/16583655.2020.1824743

5. I. Samir, N. Badra, H. M. Ahmed, A. H. Arnous, Solitary wave solutions for generalized Boiti-Leon-Manna-Pempinelli equation by using improved simple equation method, Int. J. Appl. Comput. Math., 8 (2022), 1–12. https://doi.org/10.1007/s40819-022-01308-2

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion;Physics Open;2024-12

2. Optical soliton solutions of stochastic the third-order nonlinear Schrödinger equation with multiplicative white noise via Itô calculus;Optical and Quantum Electronics;2024-03-25