8 papers
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions
Xiu-Bin Wang, Bo Han
Under investigation in this work is the inverse scattering transform of the general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions (NZBCs), which can b…
Inverse scattering transform of an extended nonlinear Schrödinger equation with nonzero boundary conditions and its multisoliton solutions
Xiu-Bin Wang, Bo Han
Under investigation in this work is an extended nonlinear Schrödinger equation with nonzero boundary conditions, which can model the propagation of waves in dispersive media. First…
A fast two-point gradient algorithm based on sequential subspace optimization method for nonlinear ill-posed problems
Guangyu Gao, Bo Han, Shanshan Tong
In this paper, we propose and analyze a fast two-point gradient algorithm for solving nonlinear ill-posed problems, which is based on the sequential subspace optimization method. A…
The nonlinear steepest descent approach for long time behavior of the two-component coupled Sasa-Satsuma equation with a Lax pair
Xiu-Bin Wang, Bo Han
Under investigation in this work is the coupled Sasa-Satsuma equation, which can describe the propagations of two optical pulse envelopes in birefringent fibers. The Riemann-Hilber…
Riemann-Hilbert problem of the three-component coupled Sasa-Satsuma equation and its multi-soliton solutions
Xiu-Bin Wang, Bo Han
In this work, the inverse scattering transform of the three-component coupled Sasa-Satsuma equation is investigated via the Riemann-Hilbert method. Firstly we consider a Lax pair a…
Long-time behavior for the Cauchy problem of the 3-component Manakov system
Xiu-Bin Wang, Bo Han
In this work, the Riemann-Hilbert problem for the 3-component Manakov system is formulated on the basis of the corresponding matrix spectral problem. Furthermore, by ap…