supported in part by NSFC(11975145 and 11972291);the Natural Science Foundation for Colleges and Universities in Jiangsu Province(17 KJB 110020)。
The paper aims at establishing Riemann-Hilbert problems and presenting soliton solutions for nonlocal reverse-time nonlinear Schrodinger(NLS) hierarchies associated with higher-order matrix spectral problems.The Sokho...
The author is supported by the Labex CEMPI(ANR-11-LABX-0007-01)。
We study the strong instability of standing waves for a system of nonlinear Schr¨odinger equations with quadratic interaction under the mass resonance condition in dimension d=5.