Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation

Runfa Zhang, Sudao Bilige · Nonlinear Dynamics · 2019 · 390 citations

Natural Sciences, Computational Engineering, Mathematics +15

N-soliton solutions and the Hirota conditions in (2+1)-dimensions

Wen‐Xiu Ma · Optical and Quantum Electronics · 2020 · 215 citations

Natural Sciences, Mathematics, Physics +14

One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation

M.S. Osman · Nonlinear Dynamics · 2019 · 186 citations

Natural Sciences, Physics, Differential Equations +11

Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method

Runfa Zhang, Sudao Bilige, Temuer Chaolu · Journal of Systems Science and Complexity · 2020 · 183 citations

Natural Sciences, Mathematics, Computational Physics +16