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Sep 2026

Symbolic Riccati-Based Exact Solutions and Physics-Informed Neural Network Validation of the (2+1)-Dimensional Chaffee–Infante Equation

Nonlinear partial differential equations require effective analytical and computational techniques for constructing, interpreting, and validating nonlinear wave solutions. In this work, we develop a symbolic Riccati sub-equation neural network framework for obtaining exact solutions of the (2 + 1)-dimensional Chaffee–I...

I. Iqbal, T. Althobaiti, A. Awan et al. · 0 citations
Open access Jul 2026

Neural network-based computational analysis of pressure-driven nonlinear waves in gas–liquid mixtures and oil transportation pipelines

In this work, we develop a computational approach for the analytical investigation of the dynamics of waves in a nonlinear system described by the Kudryashov-Sinelshchikov equation which is a nonlinear partial differential equation of (1+1) dimensions that models the propagation of pressure waves in bubbly liquids, mul...

T. Althobaiti, Noman Sharif, Daba Meshesha Gusu et al. · 0 citations

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