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

作　　者：Rong Fan Zhao Zhang Biao Li 

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China

出　　处：《Communications in Theoretical Physics》2020年第12期94-98,共5页理论物理通讯（英文版）

基　　金：supported by National Natural Science Foundation of China under Grant Nos.11775121;K C Wong Magna Fund in Ningbo University。

摘　　要：In this letter,we investigate multisoliton solutions with even numbers and its generated solutions for nonlocal Fokas–Lenells equation over a nonzero background.First,we obtain 2 n-soliton solutions with a nonzero background via n-fold Darboux transformation,and find that these soliton solutions will appear in pairs.Particularly,2 n-soliton solutions consist of n‘bright’solitons and n‘dark’solitons.This phenomenon implies a new form of integrability:even integrability.Then interactions between solitons with even numbers and breathers are studied in detail.To our best knowledge,a novel nonlinear superposition between a kink and 2 n-soliton is also generated for the first time.Finally,interactions between some different smooth positons with a nonzero background are derived.

关 键 词：2n-soliton positon solutions hybrid solutions 

分 类 号：O175[理学—数学]