177 citations · 441 across the 9 of their papers we have counts for
9 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…
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…
Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation
Baoqiang Xia, Ruguang Zhou, Zhijun Qiao
In this paper, we propose a new approach to calculate multi-soliton solutions of Camassa-Holm (CH) equation and modified Camassa-Holm (MCH) equation with aid of Darboux transformat…
A three-component Camassa-Holm system with cubic nonlinearity and peakons
Baoqiang Xia, Ruguang Zhou, Zhijun Qiao
In this paper, we propose a three-component Camassa-Holm (3CH) system with cubic nonlinearity and peakons. The 3CH model is proven integrable in the sense of Lax pair, Hamiltonian…
A synthetical two-component model with peakon solutions
Baoqiang Xia, Zhijun Qiao, Ruguang Zhou
A generalized two-component model with peakon solutions is proposed in this paper. It allows an arbitrary function to be involved in as well as including some existing integrable p…
Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in 2+1 dimensions
Wen-Xiu Ma, Ruguang Zhou, Liang Gao
Riemann theta functions are used to construct one-periodic and two-periodic wave solutions to a class of (2+1)-dimensional Hirota bilinear equations. The basis for the involved sol…