New dynamics performance for established dark solitons in polariton condensate  

作　　者：Emad H M Zahran Ahmet Bekir Reda A Ibrahim 

机构地区：[1]Department of Basic Science,Benha University,Faculty of Engineering,Shubra,Egypt [2]Neighbourhood of Akcaglan,Imarli Street,Number:28/4,26030,Eskisehir,Turkey

出　　处：《Communications in Theoretical Physics》2025年第3期37-56,共20页理论物理通讯(英文版)

摘　　要：New diverse enormous soliton solutions to the Gross-Pitaevskii equation,which describes the dynamics of two dark solitons in a polarization condensate under non-resonant pumping,have been constructed for the first time by using two different schemes.The two schemes utilized are the generalized Kudryashov scheme and the(G'/G)-expansion scheme.Throughout these two suggested schemes we construct new diverse forms solutions that include dark,bright-shaped soliton solutions,combined bright-shaped,dark-shaped soliton solutions,hyperbolic function soliton solutions,singular-shaped soliton solutions and other rational soliton solutions.The two 2D and 3D figure designs have been configured using the Mathematica program.In addition,the Haar wavelet numerical scheme has been applied to construct the identical numerical behavior for all soliton solutions achieved by the two suggested schemes to show the existing similarity between the soliton solutions and numerical solutions.

关 键 词：Gross-Pitaevskii equation generalized Kudryashov schema (G'/G)-technique soliton solutions numerical solutions 

分 类 号：O17[理学—数学]