67 citations · 186 across the 24 of their papers we have counts for
7 papers · 1 filter
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 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…
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 $…