Some space-time fractional bright–dark solitons and propagation manipulations for a fractional Gross–Pitaevskii equation with an external potential  

作　　者：Li Li Fajun Yu 

机构地区：[1]School of Mathematics and Systematic Sciences,Shenyang Normal University,Shenyang 110034,China

出　　处：《Communications in Theoretical Physics》2023年第7期86-94,共9页理论物理通讯（英文版）

基　　金：sponsored by the scientific research funding projects of the Department of Education of Liaoning Province,China(Grant No.LJKZ01007)。

摘　　要：Some nonautonomous bright–dark solitons(NBDSs)and nonautonomous controllable behaviors in the conformable space-time fractional Gross–Pitaevskii(FGP)equation with some external potentials are derived.We consider the relations between the space-time FGP equation and the fractional nonlinear Schr?dinger equation and analyze the properties of the obtained equation with group velocity dispersion and spatiotemporal dispersion.Then,some constraint conditions of the valid soliton solutions are given.Furthermore,we consider the effect ofαandβin NBDSs of the space-time FGP equation.Some fractional spatial–temporal controlling wave prolong phenomena are considered,and some different propagation dynamics are generated via the different parametersαandβ.We study novel shape bright soliton solution,novel‘h’-shape dark soliton and some interactions of nonautonomous bright–dark solitons.The reported results of some novel interactions are considered,which can explain some models of the electrical and optical fields.

关 键 词：nonautonomous fractional soliton soliton interaction space-time fractional Gross-Pitaevskii equation 

分 类 号：O175.29[理学—数学]