A systematic investigation of certain higher order or deformed soliton equations with (1 + 1) dimensions, from the point complete integrability, is presented. Following procedure Ablowitz, Kaup, Newell and Segur (AKNS) we find that version Nonlinear Schrodinger equation, Hirota equation AKNS admit Lax pairs. We report each identified possesses Painleve property for partial differential admits t...

We present a new scientific machine learning method that learns from data computationally inexpensive surrogate model for predicting the evolution of system governed by time-dependent nonlinear partial differential equation (PDE), an enabling technology many computational algorithms used in engineering settings. Our formulation generalizes to function space PDE setting Operator Inference previo...