A note on coupled focusing nonlinear Schrodinger equations

Abstract

Some focusing coupled Schrodinger equations are investigated. First, existence of ground state is obtained. Second, global and non global existence of solutions are discussed via potential-well method. Finally, strong instability of standing waves is established.

References in corpus (2)

• The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
• On defocusing coupled nonlinear Schrodinger equations

Cited by in corpus (1)

• On coupled nonlinear Schrodinger equations with harmonic potential