Rogue wave solutions of the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles by bilinear neural network method

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Yaşar E., Günhan Ay N.

7 th o International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, İstanbul, Turkey, 11 - 13 July 2023, pp.481-488

  • Publication Type: Conference Paper / Full Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.481-488
  • Bursa Uludag University Affiliated: Yes

Abstract

In this study, we examine a generalized (3 + 1)-dimensional nonlinear wave equation that may be used to represent a variety of nonlinear processes in liquids with gas bubbles. The bilinear neural network approach was used since this problem has a bilinear form. Some activation functions based on single-layer and double layer layers such as 4-3-1 and 4-2-3-1 types have been proposed. As a consequence, using Maple symbolic software, certain rogue wave solutions with physical qualities were generated. For suitable parameter values, 3D, contour, and density plots are produced to better evaluate the properties and behaviors of these given solution forms.