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 · 14.4K citations · Full text

Engineering, Pde-constrained Optimization, Deep Learning Framework +6

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 · 352 citations

Numerical Analysis, P-gbkp Equation, Exact Analytical Solutions +2

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

Wen‐Xiu Ma · Optical and Quantum Electronics · 2020 · 202 citations

Elliptic Equation, Physics, Hirota Conditions +2

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

M.S. Osman · Nonlinear Dynamics · 2019 · 185 citations

Physics, Inelastic Collision, Double Solitons +6

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 · 178 citations

Fractal Solitons, Exact Periodic Wave, Nonlinear Wave Propagation +4