Bilinear Neural Network Method Performance for Finding Exact Analytic Solutions of a (2+1)-dimensional Benney-Luke Equation
Abstract
This paper presents the new extended Benney-Luke equation in (2+1)-dimensions, and various solutions have been found based on the bilinear neural network method. Using the Hirota bilinear operator, the (2+1)-dimensional Benney-Luke equation is transformed into a bilinear form and yields exact analytic solutions by establishing a sequence of neurons corresponding to the procedure.
Fields of Study & Subjects
Neural Networks and Applications
Model Reduction and Neural Networks
Fractional Differential Equations Solutions
Publication details
- Journal / source
- WSEAS TRANSACTIONS ON MATHEMATICS
- Volume
- 25
- Pages
- 6–6
- Publication date
- 2 January 2026
- Language
- EN