148 citations · 284 across the 8 of their papers we have counts for
8 papers
Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN
Gang-Zhou Wu, Yin Fang, Yue-Yue Wang +2
A modified physics-informed neural network is used to predict the dynamics of optical pulses including one-soliton, two-soliton, and rogue wave based on the coupled nonlinear Schrö…
Lie group classifications and exact solutions for time-fractional Burgers equation
Guo-cheng Wu
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential…
Generalized Tu Formula and Hamilton Structures of Fractional Soliton Equation Hierarchy
Guo-cheng Wu, Sheng Zhang
With the modified Riemann-Liouville fractional derivative, a fractional Tu formula is presented to investigate generalized Hamilton structure of fractional soliton equations. The o…
Fractional Variational Iteration Method for Fractional Nonlinear Differential Equations
Guo-cheng Wu
Recently, fractional differential equations have been investigated via the famous variational iteration method. However, all the previous works avoid the term of fractional derivat…
Fractional Method of Characteristics for Fractional Partial Differential Equations
Guo-cheng Wu
The method of characteristics has played a very important role in mathematical physics. Preciously, it was used to solve the initial value problem for partial differential equation…
A Fractional Lie Group Method For Anomalous Diffusion Equations
Guo-cheng Wu
Lie group method provides an efficient tool to solve a differential equation. This paper suggests a fractional partner for fractional partial differential equations using a fractio…
Variational Approach for Fractional Partial Differential Equations
Guo-cheng Wu
Fractional variational approach has gained much attention in recent years. There are famous fractional derivatives such as Caputo derivative, Riesz derivative and Riemann-Liouville…
Fractional Adomian Decomposition Method
Guo-cheng Wu, Ji-Huan He
A fractional Adomian decomposition method for fractional nonlinear differential equations is proposed. The iteration procedure is based on Jumarie's fractional derivative. An examp…