4 papers
Rogue wave statistics and integrable turbulence in the Gerdjikov-Ivanov equation
Wei-Qi Peng, Xiao-Wang Lan, Shou-Fu Tian
This paper numerically investigates the statistical properties of rogue waves and their generation mechanisms in integrable turbulence, taking the Gerdjikov-Ivanov (GI) equation as…
On Cauchy problem to the modified Camassa-Holm equation: Painlevé asymptotics
Jia-Fu Tong, Shou-Fu Tian
We investigate the Painlevé asymptotics for the Cauchy problem of the modified Camassa-Holm (mCH) equation with decaying initial data \begin{align*}\nonumber &m_t+\left((u^2-u_x^2…
On soliton resolution to Cauchy problem of the spin-1 Gross-Pitaevskii equation
Shou-Fu Tian, Jia-Fu Tong
We investigate the Cauchy problem for the spin-1 Gross-Pitaevskii(GP) equation, which is a model instrumental in characterizing the soliton dynamics within spinor Bose-Einstein con…
The integrable nonlocal nonlinear Schrödinger equation with oscillatory boundary conditions: long-time asymptotics
Yan Rybalko, Dmitry Shepelsky, Shou-Fu Tian
We consider the Cauchy problem for the integrable nonlocal nonlinear Schrödinger equation \[ \I q_{t}(x,t)+q_{xx}(x,t)+2 q^{2}(x,t)\bar{q}(-x,t)=0, \] subject to the step-like ini…