B. Xia

activity

20122024

most citedDarboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation

61 citations · 259 across the 18 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

nlin.SI2012★ 50 cited

A new two-component integrable system with peakon solutions

Baoqiang Xia, Zhijun Qiao

A new two-component system with cubic nonlinearity and linear dispersion: \begin{eqnarray*} \left\{\begin{array}{l} m_t=bu_{x}+\frac{1}{2}[m(uv-u_xv_x)]_x-\frac{1}{2}m(uv_x-u_xv),…

nlin.SI2012★ 32 cited

Integrable system with peakon, weak kink, and kink-peakon interactional solutions

Baoqiang Xia, Zhijun Qiao, Jibin Li

In this paper, we study an integrable system with both quadratic and cubic nonlinearity: $m_{t} = b u_{x} + 1/2 k_{1} [m (u^{2} - u_{x}^{2})]_{x} + 1/2 k_{2} (2 m u_{x} + m_{x} u)$ , $m = u - u_{xx}$ , where $b$ , $k_{1}$ and $…