Startseite Comparative study of novel solitary wave solutions with unveiling bifurcation and chaotic structure modelled by stochastic dynamical system
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Comparative study of novel solitary wave solutions with unveiling bifurcation and chaotic structure modelled by stochastic dynamical system

  • Ibtehal Alazman , Manvendra Narayan Mishra , Badr Saad T. Alkahtani und Mati ur Rahman EMAIL logo
Veröffentlicht/Copyright: 9. Dezember 2024
Zeitschrift für Naturforschung A
Aus der Zeitschrift Zeitschrift für Naturforschung A Band 80 Heft 4

Abstract

In this study, we conduct a comprehensive investigation of the novel characteristics of the (2 + 1)-dimensional stochastic Hirota–Maccari System (SHMS), which is a prominent mathematical model with significant applications in the field of nonlinear science and applied mathematics. Specifically, SHMS plays a critical role in the study of soliton dynamics, nonlinear wave propagation, and stochastic effects in complex physical systems such as fluid dynamics, optics, and plasma physics. In order to account for the abrupt and significant fluctuation, the aforementioned system is investigated using a Wiener process with multiplicative noise in the Itô sense. The considered equation is studied by the new extended direct algebraic method (NEDAM) and the modified Sardar sub-equation (MSSE) method. By solving this equation, we systematically derived the novel soliton solutions in the form of dark, dark-bright, bright-dark, singular, periodic, exponential, and rational forms. Additionally, we also categorize and analyze the W-shape, M-shape, bell shape, exponential, and hyperbolic soliton wave solutions, which are not documented by researchers. The bifurcation, chaos and sensitivity analysis has been depicted which represent the applicability of the system in different dynamics. These findings greatly advance our knowledge of nonlinear wave events in higher-dimensional stochastic systems both theoretically and in terms of possible applications. These findings are poised to open new avenues for future research into the applicability of stochastic nonlinear models in various scientific and industrial domains.

Keywords: (2 + 1)-dimensional stochastic Hirota–Maccari system; analytical techniques; bifurcation; chaos; sensitivity analysis
Corresponding author: Mati ur Rahman, Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; and School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, Jiangsu, P.R. China, E-mail: 

Acknowledgments

We would like to thank the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) for paying the open access fees.

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Use of Large Language Models, AI and Machine Learning Tools: None declared.

  5. Conflict of interest: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

  6. Research funding: None declared

  7. Data availability: Not applicable.

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Received: 2024-07-25
Accepted: 2024-11-11
Published Online: 2024-12-09
Published in Print: 2025-04-28

© 2024 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. Quantum chemical concept of oxidation states
  4. Dynamical Systems & Nonlinear Phenomena
  5. Comparative study of novel solitary wave solutions with unveiling bifurcation and chaotic structure modelled by stochastic dynamical system
  6. Fundamental Concepts of Physical Science
  7. Fermi motion in nucleons and the generalized Heisenberg uncertainty relation
  8. Hydrodynamics & Plasma Physics
  9. Stability and convection in compressible partially ionized plasma layers: nonlinear and linear analysis
  10. Solid State Physics & Materials Science
  11. Effective medium theory of a concentric metamaterial bifunctional cloak
  12. Morphological impact on energy storage properties of 2D-MoS2 and its nanocomposites: a comprehensive review
  13. Exploring the implications of CoCrFeNiCu high entropy alloy coatings on tribomechanical, wetting behavior, and interfacial microstructural characterizations in microwave-clad AISI 304 stainless steels
https://doi.org/10.1515/zna-2024-0164
Schlagwörter für diesen Artikel
(2 + 1)-dimensional stochastic Hirota–Maccari system; analytical techniques; bifurcation; chaos; sensitivity analysis

Artikel in diesem Heft

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. Quantum chemical concept of oxidation states
  4. Dynamical Systems & Nonlinear Phenomena
  5. Comparative study of novel solitary wave solutions with unveiling bifurcation and chaotic structure modelled by stochastic dynamical system
  6. Fundamental Concepts of Physical Science
  7. Fermi motion in nucleons and the generalized Heisenberg uncertainty relation
  8. Hydrodynamics & Plasma Physics
  9. Stability and convection in compressible partially ionized plasma layers: nonlinear and linear analysis
  10. Solid State Physics & Materials Science
  11. Effective medium theory of a concentric metamaterial bifunctional cloak
  12. Morphological impact on energy storage properties of 2D-MoS2 and its nanocomposites: a comprehensive review
  13. Exploring the implications of CoCrFeNiCu high entropy alloy coatings on tribomechanical, wetting behavior, and interfacial microstructural characterizations in microwave-clad AISI 304 stainless steels
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