Vector NLS solitons interacting with a boundary*

Cheng Zhang,Da-jun Zhang

Figure 2. One soliton interacts with a boundary-bound soliton subject to the Robin BCs (α = 2). The moving soliton data are: $\{{\lambda }_{1}=\tfrac{1}{2}({\mu }_{1}+{\rm{i}}{\nu }_{1}),{{\boldsymbol{b}}}_{1}\}$ and $\{{\widetilde{\lambda }}_{1}=-{\lambda }_{1},{\widetilde{{\boldsymbol{b}}}}_{1}={f}_{2}(-{\lambda }_{1}){{\boldsymbol{b}}}_{1}\}$ with μ1 = 1.4, ν1 = 4, ${{\boldsymbol{b}}}_{1}^{{\rm{T}}}=(3,2);$ the static soliton data are: ${{\boldsymbol{\beta }}}^{{\rm{T}}}=\left(\tfrac{3}{\sqrt{10}},\tfrac{1}{\sqrt{10}}\right)$, ${\lambda }_{2}={\rm{i}}\tfrac{2}{7}$, ${{\boldsymbol{b}}}_{2}=\tfrac{{\boldsymbol{\beta }}\sqrt{3}}{\sqrt{11}}$.