Unraveling Physical Phenomena: Investigating Solitary Wave Characteristics in the Boiti–Leon–Pempinelli System

• Fu Zhang Wang ^[2] ; Bacui Li ^[3] ; M. Higazy ^[1] ; Mostafa M. A. Khater ^[4]
  1. [1] Taif University

     Taif University

     Arabia Saudí

     
  2. [2] Nanchang Normal College of Applied Technology
  3. [3] Party School of CPC Fushun
  4. [4] Xuzhou Medical University & Obour High Institute for Engineering and Technology

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 4, 2024
• Idioma: inglés
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  • This study presents a new approach for accurately obtaining solitary wave solutions in the Boiti–Leon–Pempinelli (BLP) system, which was developed by Italian mathematicians Luca Boiti, Franco Leon, and Guido Pempinelli in the late 1980 s. The BLP system is very significant in physics and is employed in several fields. It is used to simulate the behavior of nonlinear media in electromagnetic and acoustic wave propagation, as well as to understand the features of Bose–Einstein condensates. This research thoroughly examines the acquired solutions, with a particular focus on crucial factors such as the maximum amplitude, duration, and velocity of the waves. The accurate solitary wave solutions play a crucial role in enhancing the comprehension of these physical phenomena, establishing the foundation for possible practical uses.

    The suggested modified exponential function approach outperforms previous numerical strategies in terms of efficacy and dependability, demonstrating the significant potential for future study in this field. The results of our investigation are graphically shown using meticulously designed graphs, providing valuable insights into the behavior of various solutions inside the (x, t) domain. This visual depiction facilitates the identification of key characteristics such as velocity, magnitude, and form, hence improving the clarity of our study findings.