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arXiv · 2210.12154

Use of BNNM for interference wave solutions of the gBS-like equation and comparison with PINNs

Shashank Reddy Vadyala·Sai Nethra Betgeri
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Abstract

In this work, the generalized broken soliton-like (gBS-like) equation is derived through the generalized bilinear method. The neural network model, which can fit the explicit solution with zero error, is found. The interference wave solution of the gBS-like equation is obtained by using the bilinear neural network method (BNNM) and physical informed neural networks (PINNs). Interference waves are shown well via three-dimensional plots and density plots. Compared with PINNs, the bilinear neural network method is not only more accurate but also faster.

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Shashank Reddy Vadyala, Sai Nethra Betgeri. 2022-08-07. Use of BNNM for interference wave solutions of the gBS-like equation and comparison with PINNs. https://arxiv.org/abs/2210.12154

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