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- Title
Interaction solutions of (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation via bilinear method.
- Authors
Bai, Shuting; Yin, Xiaojun; Cao, Na; Xu, Liyang
- Abstract
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.
- Subjects
ROGUE waves; SYMBOLIC computation; ANALYTICAL solutions; EQUATIONS; DENSITY
- Publication
Modern Physics Letters B, 2024, Vol 38, Issue 32, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984924503202