Fajun Yu
YOU?
Author Swipe
View article: Optimal approximations for the free boundary problems of the space-time fractional Black-Scholes equations using a combined physics-informed neural network
Optimal approximations for the free boundary problems of the space-time fractional Black-Scholes equations using a combined physics-informed neural network Open
View article: Fractional-order effect on soliton solution and the oscillation number for some time-space fractional higher-order nonlinear Schr\"odinger equations
Fractional-order effect on soliton solution and the oscillation number for some time-space fractional higher-order nonlinear Schr\"odinger equations Open
The time(T)- and time-space(TS)-fractional higher-order Schro ̈dinger(FHNLS) equations are stud- ied, which can describe the dispersion and nonlinearity of optical pulse propagating in nonuniform fiber systems. The generalized fractional wa…
View article: Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation Open
In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n -soliton solutions of the GNLS equatio…
View article: Some space-time fractional bright–dark solitons and propagation manipulations for a fractional Gross–Pitaevskii equation with an external potential
Some space-time fractional bright–dark solitons and propagation manipulations for a fractional Gross–Pitaevskii equation with an external potential Open
Some nonautonomous bright–dark solitons (NBDSs) and nonautonomous controllable behaviors in the conformable space-time fractional Gross–Pitaevskii (FGP) equation with some external potentials are derived. We consider the relations between …
View article: Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds
Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds Open
The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obt…
View article: Some novel soliton solution, breather solution and Darboux transformation for a generalized coupled Toda soliton hierarchy
Some novel soliton solution, breather solution and Darboux transformation for a generalized coupled Toda soliton hierarchy Open
A few of discrete integrable coupling systems(DICSs) of previous papers are linear discrete integrable couplings(LDICS). We take a special matrix Lie algebra system(non-semisimple) to construct the Lax pairs, and establish a method for der…
View article: Non-autonomous multi-rogue waves for spin-1 coupled nonlinear Gross-Pitaevskii equation and management by external potentials
Non-autonomous multi-rogue waves for spin-1 coupled nonlinear Gross-Pitaevskii equation and management by external potentials Open