Painleve solitons of AKNS system and irrational algebraic solitons of NLS equations

Man Jia, Xia-Zhi Hao, Ruo-Xia Yao +2

A novel symmetry decomposition approach is introduced to derive the so-called ``Painlevé solitons'' of the Ablowitz-Kaup-Newell-Segur (AKNS) system. These Painlevé solitons propa…