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Multisoliton solutions with even numbers and its generated solutions for nonlocal Fokas-Lenells equation

Rong Fan,Zhao Zhang,Biao Li

Figure 1. Solutions obtained by Darboux transformation with

$a=2{\rm{i}}$ , b = 1: (a) two-soliton solution

${q}_{2-0-{\rm{hyb}}}$ with parameters

${\lambda }_{1}={\rm{i}},{\lambda }_{2}=2{\rm{i}};$ (b) four-soliton solution

${q}_{4-0-{\rm{hyb}}}$ with parameters

${\lambda }_{1}={\rm{i}},{\lambda }_{2}=2{\rm{i}},{\lambda }_{3}=\tfrac{3{\rm{i}}}{2},{\lambda }_{4}=\tfrac{{\rm{i}}}{2};$ (c) a hybrid solution

${q}_{2-1-{\rm{hyb}}}$ consisting of a two-soliton and a breather with

${\lambda }_{1}=1+{\rm{i}},{\lambda }_{2}=-1+{\rm{i}},{\lambda }_{3}={\rm{i}},{\lambda }_{4}=2{\rm{i}}$ .