8 papers
Simple and high-order -solitons of the nonlocal generalized Sasa-Satsuma equation via an improved Riemann-Hilbert method
Guixian Wang, Xiu-Bin Wang, Haie Long +1
In this paper, we investigate the nonlocal generalized Sasa-Satsuma (ngSS) equation based on an improved Riemann-Hilbert method (RHM). Different from the traditional RHM, the -p…
Characteristics of rogue waves in the scalar and vector nonlocal nonlinear Schrödinger equations
Xiu-Bin Wang, Shou-Fu Tian
In this paper, general higher-order rogue wave solutions of the parity-time () symmetric scalar and coupled nonlocal nonlinear Schrödinger equations (NLSE…
Inverse scattering transform of the general coupled Hirota system with nonzero boundary conditions
Xiu-Bin Wang, Shou-Fu Tian
The initial value problem for the general coupled Hirota system with nonzero boundary conditions at infinity is solved by reporting a rigorous theory of the inverse scattering tran…
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…
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…