67 citations · 173 across the 18 of their papers we have counts for
18 papers
Exponential and algebraic double-soliton solutions of the massive Thirring model
Zhi-Qiang Li, Dmitry E. Pelinovsky, Shou-Fu Tian
The newly discovered exponential and algebraic double-soliton solutions of the massive Thirring model in laboratory coordinates are placed in the context of the inverse scattering…
On the long-time asymptotic behavior of the Camassa-Holm equation in space-time solitonic regions
Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang
In this work, we are devoted to study the Cauchy problem of the Camassa-Holm (CH) equation with weighted Sobolev initial data in space-time solitonic regions \begin{align*} m_t+2κq…
On the long-time asymptotic of the modified Camassa-Holm equation with nonzero boundary conditions in space-time solitonic regions
Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li
We investigate the long-time asymptotic behavior for the Cauchy problem of the modified Camassa-Holm (mCH) equation with nonzero boundary conditions in different regions \begin{ali…
Long-time asymptotic behavior of the nonlocal nonlinear Schrödinger equation with finite density type initial data
Shou-Fu Tian, Zhi-Qiang Li, Jin-Jie Yang
In this work, we employ the -steepest descent method to investigate the Cauchy problem of the nonlocal nonlinear Schrödinger (NNLS) equation with finite density typ…
The long-time asymptotic behaviors of the solutions for the coupled dispersive AB system with weighted Sobolev initial data
Zi-Yi Wang, Shou-Fu Tian, Zhi-Qiang Li
In this work, we employ the -steepset descent method to study the Cauchy problem of the coupled dispersive AB system with initial conditions in weighted Sobolev spa…
Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data
Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang
In this work, we employ the -steepest descent method to investigate the Cauchy problem of the Wadati-Konno-Ichikawa (WKI) equation with initial conditions in weight…
Long time asymptotic for the Wadati-Konno-Ichikawa equation with finite density initial data
Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang
In this work, we investigate the Cauchy problem of the Wadati-Konno-Ichikawa (WKI) equation with finite density initial data. Employing the -generalization of Deift…
On the asymptotic stability of -soliton solutions of the modified nonlinear Schrödinger equation
Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li
The Cauchy problem of the modified nonlinear Schrödinger (mNLS) equation with the finite density type initial data is investigated via steepest descent method…
Riemann-Hilbert problem for the nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions
Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li
The Riemann-Hilbert (RH) problem is first developed to study the focusing nonlinear Schrödinger (NLS) equation with multiple high-order poles under nonzero boundary conditions. Lau…
Soliton resolution for the complex short pulse equation with weighted Sobolev initial data
Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang
We employ the -steepest descent method in order to investigate the Cauchy problem of the complex short pulse (CSP) equation with initial conditions in weighted Sobo…
Soliton resolution for the Hirota equation with weighted Sobolev initial data
Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li
In this work, the steepest descent method is employed to investigate the soliton resolution for the Hirota equation with the initial value belong to weighted…
Soliton resolution for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data
Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang
In this work, we employ the steepest descent method in order to study the Cauchy problem of the cgNLS equations with initial conditions in weighted Sobolev space $…
Riemann-Hilbert problem for the sextic nonlinear Schrödinger equation with non-zero boundary conditions
Xin Wu, Shou-Fu Tian, Jin-Jie Yang +1
We consider a matrix Riemann-Hilbert problem for the sextic nonlinear Schrödinger equation with a non-zero boundary conditions at infinity. Before analyzing the spectrum problem, w…
Inverse scattering transform and soliton solutions for the modified matrix Korteweg-de Vries equation with nonzero boundary conditions
Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li
The theory of inverse scattering is developed to study the initial-value problem for the modified matrix Korteweg-de Vries (mmKdV) equation with the Lax pa…
Riemann-Hilbert approach to the generalized variable-coefficient nonlinear Schrödinger equation with non-vanishing boundary conditions
Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang
In this work, we consider the generalized variable-coefficient nonlinear Schrödinger equation with non-vanishing boundary conditions at infinity including the simple and double pol…
Riemann-Hilbert approach to the inhomogeneous fifth-order nonlinear Schrödinger equation with non-vanishing boundary conditions
Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li
We consider the inhomogeneous fifth-order nonlinear Schrödinger (ifoNLS) equation with nonzero boundary condition in detailed. Firstly, the spectral analysis of the scattering prob…
Riemann-Hilbert approach and soliton solutions for the higher-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions
Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang
In this work, the higher-order dispersive nonlinear Schrödinger equation with non-zero boundary conditions at infinity is investigated including the simple and double zeros of the…
Inverse scattering transform and soliton solutions for the focusing Kundu-Eckhaus equation with nonvanishing boundary conditions
Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li
The focusing Kundu-Eckhaus (KE) equation with non-zero boundary conditions at infinity, under two cases: simple zeros and double zeros, is investigated systematically via Riemann-H…