数学系Seminar第1746期 一个一般的非局部非线性薛定谔方程

创建时间:  2019/01/08  龚惠英   浏览次数:   返回

报告主题:一个一般的非局部非线性薛定谔方程
报告人:唐晓燕   教授  (华东师范大学)
报告时间:2019年1月5日(周六)8:30
报告地点:校本部乐乎楼海纳厅
邀请人:张大军
主办部门:太阳成集团tyc33455数学系
报告摘要:A general nonlocal nonlinear Schrödinger equation with shifted parity, charge-conjugate and delayed time reversal is derived. First, we obtain several possibilities for the MI regions due to the generalized dispersion relation that relates the frequency and wave number of the modulating perturbations. Then, exact periodic solutions in terms of Jacobi elliptic functions are obtained, which, in the limit of the modulus approaches unity, reduce to soliton, kink solutions and their linear superpositions. Finally, as an illustration, a special approximate solution is given to describe two correlated dipole blocking events in climate disasters.


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上一条:数学系Seminar第1747期 NLS Boussinesq 方程的高阶怪波解

下一条:物理学科Seminar第457讲 Improving trapped ion quantum information processing with parametric amplification


数学系Seminar第1746期 一个一般的非局部非线性薛定谔方程

创建时间:  2019/01/08  龚惠英   浏览次数:   返回

报告主题:一个一般的非局部非线性薛定谔方程
报告人:唐晓燕   教授  (华东师范大学)
报告时间:2019年1月5日(周六)8:30
报告地点:校本部乐乎楼海纳厅
邀请人:张大军
主办部门:太阳成集团tyc33455数学系
报告摘要:A general nonlocal nonlinear Schrödinger equation with shifted parity, charge-conjugate and delayed time reversal is derived. First, we obtain several possibilities for the MI regions due to the generalized dispersion relation that relates the frequency and wave number of the modulating perturbations. Then, exact periodic solutions in terms of Jacobi elliptic functions are obtained, which, in the limit of the modulus approaches unity, reduce to soliton, kink solutions and their linear superpositions. Finally, as an illustration, a special approximate solution is given to describe two correlated dipole blocking events in climate disasters.


欢迎教师、员工参加!

上一条:数学系Seminar第1747期 NLS Boussinesq 方程的高阶怪波解

下一条:物理学科Seminar第457讲 Improving trapped ion quantum information processing with parametric amplification