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Analysis of multi-wave solitary solutions of (2+1)-dimensional coupled system of Boiti-Leon-Pempinelli. | LitMetric

AI Article Synopsis

  • The work focuses on the (2+1)-dimensional Boiti-Leon-Pempinelli model, relevant in hydrodynamics, to explain the behavior of water waves over time.
  • New explicit solutions to the generalized model are obtained using the Sardar sub-equation technique, which is effective for tackling nonlinear wave equations.
  • Various solitary wave solutions are developed, such as w-shaped and breather waves, highlighting the advantages of variable-coefficient models for providing distinct and stable results compared to constant-coefficient models.

Article Abstract

This work examines the (2+1)-dimensional Boiti-Leon-Pempinelli model, which finds its use in hydrodynamics. This model explains how water waves vary over time in hydrodynamics. We provide new explicit solutions to the generalized (2+1)-dimensional Boiti-Leon-Pempinelli equation by applying the Sardar sub-equation technique. This method is shown to be a reliable and practical tool for solving nonlinear wave equations. Furthermore, different types of solitary wave solutions are constructed: w-shaped, breather waved, chirped, dark, bright, kink, unique, periodic, and more. The results obtained with the variable coefficient Boiti-Leon-Pempinelli equation are stable and different from previous methods. As compared to their constant-coefficient counterparts, the variable-coefficient models are more general here. In the current work, the problem is solved using the Sardar Sub-problem Technique to produce distinct soliton solutions with parameters. Plotting these graphs of the solutions will help you better comprehend the model. The outcomes demonstrate how well the method works to solve nonlinear partial differential equations, which are common in mathematical physics.With the help of this method, we may examine a variety of solutions from significant physical perspectives.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11364648PMC
http://dx.doi.org/10.1038/s41598-024-67698-zDOI Listing

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