WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
Bilinear Neural Network Method Performance for Finding Exact Analytic Solutions of a (2+1)-dimensional Benney-Luke Equation
Authors: , ,
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.
Keywords:
BNNM, Bilinear neural network, (2+1)-dimensional Benney-Luke equation, Hirota bilinear
operator
Pages: 6-15 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 25, 2026, Art. #2 DOI: 10.37394/23206.2026.25.2
