Numerical solution of (2+1)-dimensional nonlinear sine-Gordon equation with variable coefficients by using an efficient deep learning approach

In this article, we present an efficient neural-network-based deep learning approach, physics-informed neural networks (PINNs) with regularization technique, to resolve (2+1)-dimensional nonlinear damped and undamped sine-Gordon problem with variable coefficients. We suggest a multi-objective cost f...

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