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Bilinear Neural Network Method Performance for Finding Exact Analytic Solutions of a (2+1)-dimensional Benney-Luke Equation

Nguyễn Minh Tuấn

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.

Xuất bản trên:

Bilinear Neural Network Method Performance for Finding Exact Analytic Solutions of a (2+1)-dimensional Benney-Luke Equation

Ngày đăng:

2025

DOI:

https://wseas.com/journals/articles.php?id=11253

Nhà xuất bản:

WSEAS Transactions on Mathematics

Địa điểm:

Từ khoá:

BNNM, Bilinear neural network, (2+1)-dimensional Benney-Luke equation, Hirota bilinear operator.

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