Long-Long or Long-Short Range Interactions of Nonlinear Schrödinger Systems in One Space Dimension

Shuang Lin, Chunhua Li
2018 New Horizons in Mathematical Physics  
We consider the initial value problem for systems of one dimensional nonlinear Schrödinger equations with long-long or long-short range interactions. Global existence and time decay of small solutions are presented under mass resonance conditions.
doi:10.22606/nhmp.2018.21002 fatcat:hxmytcbmpbgvbe5hbtm4qix7wy