横向非周期调制的五次非线性薛定谔方程的精确孤子解  

Exact Soliton Solution for Quintic-Nonlinear Schrdinger Equation with a Type of Transverse Nonperiodic Modulation

作　　者：刘燕[1] 张素英[1] 

机构地区：[1]山西大学理论物理研究所,山西太原030006

出　　处：《量子光学学报》2015年第2期153-159,共7页Journal of Quantum Optics

基　　金：国家自然科学基金重大研究计划培育项目(91430109);高等学校博士学科点专项科研基金(20111401110004);山西省自然科学基金(2014011005-3)

摘　　要：本文首先应用Adomian分解法给出了横向非周期调制的五次非线性薛定谔方程的精确孤子解,并将其同数值结果进行了比较,它们吻合得很好。进而针对不同介质的传播常数k研究了精确解的线性稳定性和非线性稳定性,k<1.724时孤子解不稳定,1.724≤k<2.264时其具有非线性稳定性,但是不具有线性稳定性;k≥2.264时孤子解既是非线性稳定的,也是线性稳定的。An exact soliton solution for quintic-nonlinear Schrodinger equation with a type of transversenonperiodic modulation was studied by using of the Adomian decomposition method in this paper. After thecomparison of the analytical solution with the numerical solution, We found that they were in goodagreement. Then we investigated the linear and nonlinear stability property of the exact solution for differentpropagation constant k in nonlinear medium. The soliton solution was unstable for k〈 1. 724. It had thenonlinear stability, but did not have linear stability for 1.724≤k〈2.264. But it had the linear andnonlinear stability for k≥2. 264.

关 键 词：非线性薛定谔方程 ADOMIAN分解法 线性稳定性 非线性稳定性 

分 类 号：O411[理学—理论物理]