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

Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation

(2021) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

Dark soliton solutions for a coupled nonlinear Schrödinger system

(2021) Xue-Hui Zhao   APPLIED MATHEMATICS LETTERS

Periodic-wave solutions and asymptotic properties for a (3+1)-dimensional generalized breaking soliton equation in fluids and plasmas

(2021) Rui-Dong Chen et al.   MODERN PHYSICS LETTERS B

Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the generalized (3+1)-dimensional breaking soliton equation using optimal system of Lie subalgebra

(2021) Monika Niwas et al.   Journal of Ocean Engineering and Science

Lump-type solution and breather lump–kink interaction phenomena to a (\mathbf3{\varvec{+1}})-dimensional GBK equation based on trilinear form

(2020) Litao Gai et al.   NONLINEAR DYNAMICS

An explicit plethora of different classes of interactive lump solutions for an extension form of 3D-Jimbo–Miwa model

(2020) Jian-Guo Liu et al.   European Physical Journal Plus

Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method

(2020) Kottakkaran Sooppy Nisar et al.   Results in Physics

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

(2019) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

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

(2019) M. S. Osman   NONLINEAR DYNAMICS

Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation

(2019) Litao Gai et al.   PHYSICS LETTERS A

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

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS