61 citations · 259 across the 18 of their papers we have counts for
18 papers
Integrable nonlocal finite-dimensional Hamiltonian systems related to the Ablowitz-Kaup-Newell-Segur system
Baoqiang Xia, Ruguang Zhou
The method of nonlinearization of the Lax pair is developed for the Ablowitz-Kaup-Newell-Segur (AKNS) equation in the presence of space-inverse reductions. As a result, we obtain a…
Rogue peakon, well-posedness, ill-posedness and blow-up phenomenon for an integrable Camassa-Holm type equation
Mingxuan Zhu, Zhenteng Zeng, Zaihong Jiang +2
In this paper, we study an integrable Camassa-Holm (CH) type equation with quadratic nonlinearity. The CH type equation is shown integrable through a Lax pair, and particularly the…
A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation
Baoqiang Xia
We study two integrable systems associated with the coupled NLS equation: the integrable defect system and the integrable boundary systems. Regarding the first one, we present a ty…
On the nonlinear Schrödinger equation with a time-dependent boundary condition
Baoqiang Xia
We study the nonlinear Schrödinger equation on the half-line with a boundary condition that involves time derivative. This boundary condition was presented by Zambon [J. High Energ…
Time-dependent defects in integrable soliton equations
Baoqiang Xia, Ruguang Zhou
We study -dimensional integrable soliton equations with time-dependent defects located at , where is a function of class . We define the defect condition…
Evolution equations on time-dependent intervals
Athanasios S. Fokas, Beatrice Pelloni, Baoqiang Xia
We study initial boundary value problems for linear evolution partial differential equations (PDEs) posed on a time-dependent interval , , where an…