Among the most significant contributions are:

- The discovery of self-trapping of spatially-incoherent light and of white Light (first observation + first theories that explained it and made further predictions).
- The discovery of photorefractive spatial solitons (theoretical prediction + first experimental demonstration).
- First experimental observation of Anderson Localization in a perturbed periodic structure.
- Invention of the sparsity-based concept for sub-wavelength imaging and phase-retrieval, and related structure-based methods for algorithmic super-resolution.
- The discovery of modulation instability and spontaneous pattern formation in a weakly-correlated (or incoherent) nonlinear wave system (theoretical prediction + first experimental demonstration).
- First experimental observation of two-dimensional solitons in 2D periodic lattices (first 2D
^{³}discrete/ lattice solitons^{²}). - Discovery of accelerating wave-packets of Maxwell’s equations.
- First experimental observation of spatial gap solitons.
- First experimental observation of 3D soliton interaction-collisions, soliton spiraling, etc.
- First experimental observation of multi-mode and of multi-hump solitons.
- First experimental demonstration of nonlinear photonic quasi-crystals, and wave dynamics therein.
- The theoretical and experimental discovery of incoherent dark solitons
- Theoretical prediction of soliton fractals.
- Prediction and first observation of random-phase lattice solitons.
- Demonstration of the world’s first quantum-dot photo-detector.
- Discovery of nonlinear accelerating wave-packets.
- Theory and experimental demonstration of the relation between nonlinear self-oscillation and order-disorder phase transition
- First experiments on nonlinear wave dynamics in photorefractive waveguides
- First demonstration of controlling laser diode arrays with phase-conjugate mirrors, and using it for mode-locking the laser arrays.
- Prediction + first observation of surface waves in nonlocal nonlinear media.
- First experiments on soliton tunneling.
- Prediction + first experiments on symmetry-drive conical diffraction (conical diffraction in honeycomb lattices).