Theory and Modern Applications
N-soliton | Mixed lump-soliton and lump-soliton-breather interaction solutions | Parameters |
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N = 5 | one lump + three solitons | \({b_{s}=p_{s} a_{s}}\ (s=1,2,3, 4, 5)\), \(a_{1}={l_{1}}\varepsilon \), \(a_{2}={l_{2}}\varepsilon\), \(a_{3}=a_{4}=\kappa _{1}\), \(p_{1}=p_{2}^{*} =\gamma _{1}+i\sigma _{1}\), \(p_{3}=\gamma _{2}\), \(p_{4}=\gamma _{3}\), \(a_{5}=\kappa _{2}\), \(p_{5}=\gamma _{4}\), \(\eta _{01}=\eta _{02}^{*}=i\pi \), \(\eta _{03}=\eta _{04}=\eta _{05}=0\), ε→0 |
one lump + one breather + one soliton | \({b_{s}=p_{s} a_{s}}\ (s=1,2,3, 4, 5)\), \(a_{1}= {l_{1}}\varepsilon \), \(a_{2}={l_{2}}\varepsilon\), \(a_{3}=a_{4}=\kappa _{1}\), \(p_{1}=p_{2}^{*}=\gamma _{1}+i\sigma _{1}\), \(p_{3}=p_{4}^{*}=\gamma _{2}+i\sigma _{2}\), \(a_{5}=\kappa _{2}\), \(p_{5}=\gamma _{3}\), \(\eta _{01}=\eta _{02}^{*}=i\pi \), \(\eta _{03}=\eta _{04}=\eta _{05}=0\), ε→0 | |
two lumps+one soliton | \({b_{s}=p_{s} a_{s}}\), \(a_{s}= {l_{s}}\varepsilon\ (s=1,2,3, 4)\), \(b_{5}=p_{5} a_{5}\), \(p_{1}=p_{2}^{*}=\gamma _{1}+i\sigma _{1}\), \(p_{3}=p_{4}^{*}=\gamma _{2}+i\sigma _{2}\), \(a_{5}=\kappa _{2} \), \(p_{5}=\gamma _{3}\), \(\eta _{01}=\eta _{02}^{*}=\eta _{03}=\eta _{04}^{*} =i\pi\), \(\eta _{05}=0\), ε→0 |