3 citations · 4 across the 5 of their papers we have counts for
5 papers
The unified method for the three-wave equation on the half-line
Jian Xu, Engui Fan
We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the three-wave equation: \[p_{ij,t}-\frac{b_i-b_j}{a_i-a_j}p_{ij,x}+\sum_k(\frac{b_k-b_j}{…
Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
Jian Xu, Engui Fan
We consider the Cauchy problem for the Gerdjikov-Ivanov(GI) type of the derivative nonlinear Schrödinger (DNLS) equation: with…
The Fokas method to the Sasa-Satsuma equation on the half-line
Jian Xu, Engui Fan
We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the Sasa-Satsuma(SS) equation: $iq_T+\frac{1}{2}q_{XX}+|q|^2q+i\eps (q_{XXX}+6|q|^2q_X+3q(…
Generalized Super Bell Polynomials with Applications to Superymmetric Equations
Engui Fan, Y. C. Hon
In this paper, we introduce a class of new generalized super Bell polynomials on a superspace, explore their properties, and show that they are a natural and effective tool to syst…
Binary Bell polynomials approach to the integrability of nonisospectral and variable-coefficient nonlinear equations
Engui Fan
Recently, Lembert, Gilson et al proposed a lucid and systematic approach to obtain bilinear Bäcklund transformations and Lax pairs for constant-coefficient soliton equations based…