大连理工大学数学科学学院
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Localized analytical matter-wave solutions and numerically stabilities of generalized Gross-Pitaevskii(GP(p,q)) equation with three kinds of specific external potentials

2018年06月08日 14:55  点击:[]

学 术 报 告

报告题目Localized analytical matter-wave solutions and numerically stabilities of generalized Gross-Pitaevskii(GP(p,q)) equation with three kinds of specific external potentials

报告人:于发军 副教授  沈阳师范大学数学学院

报告时间:611日(星期一)1000-1100

报告地点:创新园大厦A1101

校内联系人:王振 教授      Email: wangzhen@dlut.edu.cn

报告摘要We present the generalized Gross-Pitaevskii (GP(p,q)) equation with three kinds of specific space-time modulated potentials, including a harmonic potential, the gener- alized Rosen-Morse potential, the combination of harmonic and Gaussian(harmonic- Gaussian) potential. Some analytical bright soliton solutions are derived from the generalized GP(p,q) equation via the complex similarity transformation and the generalized stationary nonlinear Schro ̈dinger(NLS) equation. The soliton solutions can be reduced to Jacobi elliptic and spikon-like solutions by choosing the different parameters, and describe some physically relevant phenomena. Furthermore, some stabilities of the obtained matter-wave solutions are addressed numerically. We find that some solutions are stable and can be observed over a broad range of parameters through analyzing the effect of the phase noise and amplitude noise on these solutions. The obtained results may give a certain theoretical guiding significance of relative experiments in Bose-Einstein condensates.

报告人简介

于发军2007年博士毕业于大连理工大学应用数学系 近年来从事非线性波的可积性与解析解的研究在国际SCI期刊《Physical Review E》、《Nonlinear Dynamics》、《Journal of Mathematical Physics》、Nonlinear Analysis等杂志发表文章40篇,均被SCI检索,其中SCI 1区文章9篇,文章被SCI引用160余次。出版著作1部(科学出版社)。主持国家自然科学基金青年基金1项,主持博士后面上项目和省部级课题共72011年入选辽宁省高校杰出青年学者成长计划2017年入选辽宁省“百千万人才工程”千层次,2018 年入选沈阳市高层次人才“拔尖人才”。

 

大连理工大学数学科学学院

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