Isaac Scientific Publishing

New Horizons in Mathematical Physics

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

Download PDF (617.5 KB) PP. 6 - 19 Pub. Date: March 1, 2018

DOI: 10.22606/nhmp.2018.21002

Author(s)

  • Shuang Lin
    Department of Mathematics, College of Science, Yanbian University, No.977 Gongyuan Road, Yanji City, Jilin Province, 133002, China
  • Chunhua Li*
    Department of Mathematics, College of Science, Yanbian University, No.977 Gongyuan Road, Yanji City, Jilin Province, 133002, China

Abstract

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.

Keywords

System of NLS equations; critical, subcritical and supercritical nonlinearities; mass resonance conditions. 2000 Mathematics Subject Classification: 35Q55, 35B40

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