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Interaction solutions of (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation via bilinear method

Modern Physics Letters B, ISSN: 1793-6640, Vol: 38, Issue: 32
2024
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  • Citations
    3
    • Citation Indexes
      3

Article Description

Using the bilinear neural network method (BNNM) and the symbolic computation system Mathematica, this paper explains how to find an exact solution for the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani (KdVSKR) equation. In terms of activation function and weight coefficient, BNNM is a more appealing option for users than traditional symbolic computation methods. It is possible to develop a wide range of solutions and expand the classes of exact solutions by modifying the activation function. The activation function's versatility allows it to generate a wide range of solutions with several theoretical and practical uses. The analytical solution is obtained by using a double layer type, while the rogue wave solution and mixed solutions are obtained by using a single layer type. The evolution of these waves is then illustrated using various 3D graphs, 2D graphs, and density plots.

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