Blow-up criteria for coupled nonlinear Schödinger equations

Abstract

This paper deals with the blw-up problem of a system of two coupled nonlinear focusing Schrödinger equations. By using localized virial estimates, we establish a blow-up criteria for non-radial solutions without the hypothesis of finite variance.

Keywords:

• Coupled nonlinear Schrödinger equations
• ground states
• blow-up

2010 Mathematics Subject Classifications:

• 35Q55
• 35B44

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work has been supported by the National Natural Science Foundation of China [grant number 11771314, 11871138].