A NUMERICAL AND ANALYTICAL STUDY OF THE KORTEWEG-DE VRIES EQUATION FOR MODELING SOLITARY WAVES IN ENGINEERING APPLICATIONS

Abstract

The examination of solitary wave equations is of utmost importance within the realm of engineering, given their significant contributions to understanding the dynamics of diverse physical phenomena. In this numerical study, we focus on analyzing solitary wave equations to better understand their characteristics and implications for engineering applications. The problem statement of this study involves investigating the behavior of solitary wave equations under different parameters and initial conditions. The goal is to gain a deeper understanding of how solitary waves propagate and interact with their environment in engineering scenarios. Our approach involves utilizing advanced numerical methods to solve the solitary wave equations efficiently and accurately. By incorporating sophisticated algorithms and techniques, we are able to simulate and analyze the behavior of solitary waves in various engineering contexts. The results of our study reveal valuable insights into the dynamics of solitary waves and their impact on engineering systems. By conducting a thorough examination and analysis of quantitative data, we can derive significant insights regarding the characteristics of solitary wave equations in practical situations. In conclusion, this study highlights the importance of understanding solitary wave equations in engineering applications. Integration of numerical methods and analytical techniques enables a thorough grasp of solitary wave behavior and its importance for engineering design and optimization.