Proves simultaneous stable and unstable standing waves, global existence, and absence of small-data scattering for a three-wave energy-critical Schrödinger system, revealing interaction-specific features distinct from the classical case.
Ardila, Orbital stability of standing waves for a system of nonlinear Schr¨ odinger equations with three wave interaction.Nonlinear Anal.,167(2018), 1–20
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Three wave interaction solitons for an energy critical Schr\"odinger system
Proves simultaneous stable and unstable standing waves, global existence, and absence of small-data scattering for a three-wave energy-critical Schrödinger system, revealing interaction-specific features distinct from the classical case.